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Grade upto college level Mechanics

Fig. shows a uniform block of mass, M and edge lengths a, b, and c. Calculate its rotational inertia about an axis through one corner and perpendicular to the large face of the block. (Hint: See Fig.)
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hwkMVitbe3c5Kmq6sLzAc4o588eQKcWF1dXadOnZKRkZkVJ0VERERgYCAajVZXVy8tLR0fJP5U3nh5efHy8lpaWmIwmJnlRvX392dmZrq7ux87duxzpT1wAjzHnEe4qhRms9n9/f0TCh7YbgK3YXBwEChDDAaDSqWOjIzQaLQnT56QSCTg+mOz2ZwtxoHvB/iHmEwmiJt2d3e/fv0a/rr6+no3Nzc1NbVPKfw7f/68oKCgkpLS8ePHJxszc96QSCQ9PT0EAsHLy3vt2rUZ5C0MDAzk5+fb2trm5uYuhIWJK8DR7PGYTOmhUCggDA5BEJPJZLFYg4ODoNUtAJPJ7O/vHxoaotPp7e3tg4ODIyMjQPC0tLQwGAyw+oN4Z0dHB5ArIENjcHAQXvuePHmip6dnbm7ObQLTrVu3bGxsFBQUjh8/PnWDPa55A/qlFxUVKSkp/f7777q6ujOwmCgUyunTp/F4fHp6+sLp5MCpQIwBi8V69eoV56dsNhuYSxOOb21t5ZSdIyMjoNkqnU6nUqlgBWSz2RQKZXBwkEQigcRnFov17t07CoUCWEWj0UZHR1ks1vPnz0dGRiAIAsOAR6evr6+1tRXk9LS0tPT19VGpVPhmU6nUzMxMeXn5wMDA6eSl1NfXu7q6Kioqpqamgu+aGjPkzeXLl589e9bX1we7sKaPkpISJyenw4cPLzQZQ6VSOd1cnZ2dcMQASJfp/9KRkRHO5wGsROCmtrW1ARWwo6NjcHAQqMMDAwOwdgxOGR4eBuyBIGhgYABcbXR0lEqlstnspqYmoOXACRtgJIlE4oykdnd3R0REqKqqRkVFTfZI3L9/38rKSklJiUgkwnPu6Oi4fPnyzZs3J/POz2t8qqOjIy4uLjg4+LMrv5xgsVhPnz6F11lYO2ltbZ2iwgbOkZgM45tBU6nUBw8e9PX1kclkKpX67t274eFhIJlGR0eZTObAwACFQunu7mYymW/fvh0aGoL9N/39/YBJIN/0zZs3YJUEbkPAPCaTOTg4CF4wmUx4GX3z5k1AQIC1tfWVK1c4qd/Q0ODk5CQlJRUTE8OZ69PZ2amurl5QUKCkpDRZudw88QaUndvZ2RUXF8/g9DkFeNDhfyidTmcymZw6/pgcUPjgNMUP5zBYMMBPP+z3A6sDrAKDTK7xmTpMJpPTrdXa2gpEAjyYzWbX1dX19fWNyVV98eKFn58fEokE9tfg4CASiSQQCOONr0OHDrm5uUEQ1NHRMVnGwZzzhk6nJycnu7u7Z2VlLZbGMGCrm+lr+hNyCNaWOGsb2Gx2fX395cuXIQiCLfOmpiaQhMSZ3gWoA/v9oL/zD+jUEAS1tLS8fPkSHgMSCC9dugQ+BXPg/CFA0zhx4sTo6GhjY+P430KhUL7//nuQLzbFPlHc8SYjI2NMF4ipcenSJQKBYGZmttBUGW4xtXSBqxcgCKLT6eAu0un0MX1uyWTywMDA8PAwUCO6urpA8BwY4RAEsdns3t5e4Luj0WhgNYf1a8Czzs7O0dFRCoVy4cIFTkr19PQA/enp06dPnjzp7+9///49UJ445xAVFfX7779P0ZKByWRqaWkZGhpmZ2cnJibCeyeMAdf14Xg8fjoj379/n5ycrKure/v2ba6+4rMAKJvgNSwnODNgpg84rgnnjILqBQiCurq6YDWzs7MTSALgiXn79i0EQSwWq6Oj482bN8CSgj6Y9IArQKN6//49MNTBdYC8gSCop6eHRCJRqdSWlpb6+vrGxsampiZYP6PT6cXFxSgU6l//+pexsXFeXt4UP6G3tzctLS0pKYmzvHWMsckdb3Jzc11cXKYe09LSkpqa6uHhUVJSsih2cGWz2eNtbAiCGhsbp+MjmGw5A0889CEeDn3IowCqLp1OH/qAtrY2OL8CnDsyMgJuOeAWYM/Lly+BWOrr62tvbwf/2+HhYTKZTKFQgBhjs9nt7e0vXrwAgTAwverqahQKtXLlSikpKXt7+z/++CM0NJSrf9GNGzesrKw4NX3ueHP69Onk5OTJPu3p6UlNTfX19S0oKJhBK/KFCTabDYzkyQbAMmnC+BTQVDo7O4HHD87I6e3tbW5uplKpwAKCIAjk04DMiuHhYWDWgbcMBuPVq1fgOhPOgUQiDQwMtLW10Wi0wcFBcIPZbHZjY6O2tvbq1auxWKympmZUVJSiouKuXbs+WlQP48GDB46Ojrq6uvn5+ZxPCHe8KS4unrCZGYlEys/P9/LyOnHixGQr4sLHeG0APj6d08EyMdmnQN0BDiHAHvBoAfO7q6uLRCKBVIqenh6QcUGlUoEtzWazgQMQOMyam5sBgZhMJolEYjKZwHqCPqTvQBDU399vY2Pz+++/L1u2TEZGxsHBwdzc3MjIaM+ePStWrIC375sCHR0dhoaGKioqKSkp47O3uOPNmTNnCgoKOI9QqdTq6mp9ff2kpKSF4/mdDsZ4+aC/V7FwcqWzsxMO1k7GLRicUXQwHo4VwHYyeAHsZBqN1t3d3dXVxWAwzp49CwgxOjoKxsAuHOCbBusUiUTq6OhgsVh0Or23t5fFYpHJ5OHhYXDus2fPLCws9u7d++233zo4OCgrKwM3DA6HMzQ0TE1N3bRp09SbZrS3tx85cuTAgQPp6emzk+9XVlbG2Vy9qalJQkIiMDBw4STKTB9NTU2XLl2a7FPOez9hfd1kgK1r2Aivq6sDPpIx0mgMwyAIGhoaAsp4e3s7YBVQnKEPqyGbzX7z5g18HTgWAbSZgYGBEydOrF+/HoFALF++3NXV1cLCYvv27fr6+tbW1vv370cikcrKyqKiov7+/hNOvru7OyUlRU9PLzk5OTs7e4qMOa7tqYCAAAiC2traCASCu7t7UVERV1dYaOC8c/CNHCMYoClDVxNeB5podRseHgZu2f7+fpBmOt7HA0EQnU4HyRIsFgt4kCGOWuD379+DEOaY61dWVoqJif3vf/9Do9FSUlKurq4mJiYaGhrCwsJycnLy8vLS0tLr1q0LCQnh4+MDN5ET7e3tBAJBXV09KCgIhFp/+umn9PT0yX4v1/pNSkpKdXW1k5NTcXHxR/dVXJggkUhjBORHtXggCaZzcfaHeijOi8NHaDQalUq9ePHi+/fvwQLEYrHAWgP9vRaioaEBeLHBR4A9Q0NDwIDq7e2F53P//n0DA4OVK1fy8PD4+vomJSWpqak5ODhISEjk5+ejUCg5OTlXV1d5eXkDA4Pg4GCQOAxPD9SGCgkJ+fj4wEl9NBrt66+/zsnJmexncsebwsJCLS2t2traRb3jPIlEam5u5syzAfoEWBHev38Ppx8MDg6CVNf+/v4x3GKxWJxZsGOefs7sdHBxBoMBvDjAqB4ZGYHlWX9/PyAWjUYbGRkhk8kgyNDR0QH8PUDAAP0GVoEhCCKTyRkZGcuWLdu2bZuMjIy5ubmWlpa9vb2Dg4O4uLidnZ21tbWhoaGamlpMTIyYmNiPP/4oIiKyYcOGwMBAMLHq6mp1dXUPDw/Ybgc4fvw4AoFITU2d7H/IHW+KioqWL18eHBw8zxX8c4HOzk7OEmM4SsXJJ6BAQJP4i0FtJTC/wdMPW0wdHR2AGWAkONjV1QWMTSaT+eDBA8AnEIak0+k9PT3t7e2AK4BSHR0dwIx69OjRu3fvenp6wOM6NDREoVCOHz++devWb775RkxMTF1d3cbGBoVC2dvbGxsb6+rqrl27VlNTU1hYeOvWraampkJCQu7u7jo6Ovb29t9++62vry8EQU1NTa6uruN7X/T09AgICHz11VeHDx+e7L/HtX4jISFhb28vICBw8uTJRS11AKZQcoHXH7xubW2d0LIYo2fAlvOYi4P0BjKZfPfuXTKZ3NDQANJuQAQbOAP7+/thAQasJ+DXaW5ufvv2LZlMBloBnU6/c+eOnJzcjz/+aG5urqen5+bmpq2tbWlpqaOjo6WlJScn5+Pjo6KiYm1traqqKiUlpaCg4OrqamNjIyMjs2fPHisrq6kL2erq6sB+HVMs39zxJj8/X0NDo7q6WkdHR0ZGJiwsDIToFi84dZHxGgynXgJMm+fPn3/UncNJnb6+vpaWFtjmB1YSyJro6ekZHBxkMBicyTpwrjGQc0AUwfevtrZWQUFh5cqV8vLyVlZWLi4uurq6cnJyJiYmOBxu69atzs7OcXFxZmZm4uLiYmJirq6uWlpaSCTSz8/PzMxMXV39woULH43XMpnMpqYmHA43xRiu/TfW1taHDx92c3PLyckJDg7m4+OLjo5eCHnB08QUWTUTar4tLS2wpGGxWHDwmcVitba2AokyMDAAZAYEQUALodFoly9fZrPZsBQZs94B4cFgMEZHRwEtYLsJngyZTIadqA8fPjQwMPjxxx+B81dWVtbBweGHH37g4+Nbv369rKysq6srLy+vmJiYnJzcsmXLTE1Nd+/eraysbGZm9u2330pJSXHVxaG1tdXKymqKAVzLG6BkXbp0CWhSwcHB27ZtQ6PRV69e5epSnwuNjY2cHu3xWejQOOfNZA8ovEyDdCrO9EqgLcFv29vbx0gp4LUDV25ra2tsbIQHjI6ONjQ0gBgnBEHDw8NpaWkrV64UEhKSlJQUFBS0s7PbvXs3EoncsGFDSEiIkJCQrq4uHx+ftLS0oKAgUHQUFBQ2bdrEw8Pz+++/BwUFcVvh8O7du9nkzcmTJ/n4+EJDQ8vKyl6+fJmTk1NfX6+vr+/o6CggIGBqarrQGovcvHkTzjIBDOjo6GhpaeHM0gKPNQgAwSeOjo5O3U4bZAFzHpnMVh8dHe3o6ICdOiDbl0KhAJ6xWCxOzQZo4mDOVCo1OztbTEwMgUAQCITa2trg4GBpaWksFisuLn7jxg0MBqOkpFRaWqqoqPjNN9/o6+uHh4cbGBggEAg+Pr7//Oc/NjY2M2svNMu8yc/PB0liiYmJDx8+DA4OdnNzIxKJaWlppaWl8vLyEhIS6enpCycMPjIyAt/L3t5esJ4+evSIwWB0d3fD29mBrEomkwkXZre2tt69e3eKisx3796B9Qu+/sOHDzs7O2F/MYzu7m449Y5Go124cAGCoObm5traWnDxgYGB8c9bTU2NiIjIt99+i0AgXF1dXVxcMBjM3r170Wi0gIDAxo0blZSULCwslJWVgaKzadOmHTt2ODo6ysnJIRAITU3NT1kBZpk3BQUFxsbGwcHBBALB398/Pz8/Ly8vLS2tuLg4Ojray8vLz89v2bJlSCRyitKbecP4p5/FYsEH+/r6QObKwMAArHhy+uigcX3XgG08xgQDNd5jPHsQBDU1NV27dg1WhoA9BddD0Wg0IJ+am5vfv3///PlzeGJPnz7V1tb+448/+Pn5eXl5JSQkUlJSVFRU9u3bJy8v7+TkpKCggEKhvv76a3t7ezMzM0lJSRwOBwLdmzdvlpGRqa2t/cR/3SzzJi8vT0VFJSsrKy8vLyIi4uTJk5mZmTExMYmJibGxscePHy8sLAwMDIyJifntt9+CgoLmbouej4L9ob6a8yCZTAYRRE6JyJmLOSHgkCH0d/sLRnt7O6eSBF7T6fRXr161t7cD3y4oh2htbQV+nffv34N6ze7ubpiaPT09ycnJGzdu/OOPP9BoNChg3bJlC6i33717NxqN1tPTMzQ01NbWFhcX3717N5FI1NfX19fX37Nnz759+wICAmbFRpll3hw7dkxVVbWioiIjI6OioiI7Ozs6OvrYsWPBwcEpKSmpqakEAsHb2zs3N9fJyQkUDoaHh3/aT5gh2Gx2c3MzrIJwZvQBKwa2a0AxW39//8jICLiFg4ODwBKGe/HBqjRoiQVew/HO4eFhGo32/v17WG69fv0arGKwjQ3Y09LSMjIyAoaBUgQQOySRSMCl+9VXXwkJCbm6umIwGGVlZUNDQycnJwwGIy0tLSEhwc/Pr66uLiQkZGxsvHfv3p07d3p6eu7YsUNKSsrZ2XkWe5rMMm9yc3OVlJSqq6u9vLyIRGJAQACRSMzIyCASiTExMUVFReHh4e7u7nfu3MzX8rYAABj0SURBVLl06dK5c+c8PDxQKNTnqvoes8RMOAbOpgM5LuAugqLrd+/eAdWY01DiXLng4NFff/0FIpFv375lf2jTB8JPsIYEcmVAFnBrayvogQLE3okTJ7Zv375mzRoBAQGwt7K1tTU/P7+2traDg0NISMi+fftERESwWOyePXtkZGSQSKShoaGnp+emTZu+++47Y2PjmTWkmgKzzJuSkpIdO3ag0WhNTc0DBw5kZmZmZmYmJCQQCITk5OTr168HBASEhoamp6eHhIT4+vomJCQ8f/7cxcVFXl6+tLR0fpIAwT0Dr8fEmYH8gE0bziZq48V7V1cXZ7cs+ILwRcZ0dAfaD4PBgE0Y8EW9vb0kEglWbjhx7949dXX1TZs22dnZ7dmzx8HBQUdHZ8OGDZ6ensbGxtLS0nZ2dioqKoqKirKysklJScrKykgkMj4+XktL648//tiyZUt1dfUn/rsmxCzzpqio6NChQ0VFRVJSUrq6ugQC4d69e8XFxdLS0gQC4cqVK8XFxfLy8h4eHjgcztraOiAg4ODBg6DW7pdffpGWlp6HnXz6+vpgCcEZV+KsR4H+zhUQ6QQf3bhxg0aj3bhxg81mv3jxgk6nA28KNC54OVmRwxh9HFjaoKIDvkJhYWFQUNDKlSuRSCQWi92xY8dXX3116NAhQ0NDSUlJfn7+0NBQXl5eFxeX8+fP+/r68vDw8PDwBAcHi4iIODg4aGpqEgiEuXO3zjJvsrKywD7QPT09urq6hoaGYL8WDw+Pe/fu1dXVHT9+HIVCQRDU0dEREhKSm5sbFhaWkJAQFhZGIBB4eHhkZGTi4uLmYaPbN2/eTPgtDQ0NnEYvhULhzAYBdeCgYyODwWhqagJOdxBoBIb6mERYznZ8nNcBXjvg3+MUtN3d3f7+/iCC/euvv+rr6wNz+rvvvpORkUlISODh4REUFFRTUwNOXm9vb0FBwW+++QaLxWpoaGzatMnX13eu9xKYZd6UlpZy5mRUVVXx8vLa2tqWlZWVlpY+fPgwMjIyJiYmMzOztra2oqKiqKgoOjo6MDAwLCwsKyvL0dERbFMoKSl55syZmf2kaQJelcZgeHiYUx6wP7TdA29ZLNazZ8845Qpn5igIfYOUBvaHjrJv3ry5du0auBQovgSFtzU1NRAEUanUgYEBIGVHR0eTk5PXrFmzZ88eT09PaWlpDQ0NLS0tW1tbbW1tPT09PB6Px+PNzc09PDyMjY2BUEehUKKiokgkcs+ePY6OjvOz+0RTU5OJickUA7jjzYkTJ4KCgjiPvH37lkAgyMjIBAYGpqen+/j4GBkZycrKpqenR0ZGHjhwwMTEJDo6OisrS1paWl9f/9WrV9nZ2QYGBuCUefgvAN2zq6sLBEZYHL08OS0skAsBR6DgPGLQy3PC9YjBYAwODgJ2AukCMxLOP4cHV1VVqampLVu2jJeXV01NjZ+fX0FBwc3NzdDQkJ+ff9u2bevWrdu5c6e1tTVoI4/BYISFhaOiorBY7K5duw4ePPjpXpnp4/3791Nv5jg7dXd1dXVOTk5AzCYkJJw6daqmpubw4cPZ2dnnzp0DKpG6urq7u/vdu3ctLCzAhjlWVla7d+8ODAyc02we9od+M0A8AJsZ+iBpOLUf0L0cvIW1HzabDXqeAxrBmVwAL1++BMsW6E4CQdDAwACVSn358iUcpnj58iUOdivu1ahU/Pz8ejxcTE9u4caO9vf3q1avRaLS7u7uMjAyIQe7du9fFxUVVVVVDQ0NMTGzLli0bNmwQFxevra2d5xJp9t87/o8div3EGb2/vyb6prKzM0NAQi8V6e3unpaXFx8cXFBScPHkyNTU1LCwsMDAwPDy8oqLi4MGDCQkJOTk52dnZeDx+3bp1VlZW5eXl87NjFIVC4ezVCEHQu3fvQPUJfLC+vh6oLE1NTWMKGGBtBtQYgINAPgEX8ODgIKz7NzY2enl5KSsrb9iwQUlJSUtLy8nJSVlZefv27b6+viCpCovFWltbS0hIaGho7Nq1S0lJCTxOmzdv3rlzZ0JCwsLsDM91nmhUVNQUA0gkUlxc3JYtW5ydnW/cuBEcHFxUVJSYmIjH44uKijQ1NbOysurq6vz8/Dw8PIKDg4uLi9PS0hwdHSUlJQMDA6fe+nC2QKFQenp64O6ycFkuzANYNwICCfid4WI2oP0wmUzO3jCAOvCy29bWFhwcLC8vD9RbGxsbXV1dSUlJFRUVLBbr4uISExODxWL19PSkpKRMTU1NTU2lpKSkpaXl5OTMzc3XrFkTGhrK2YproYHres0pcgdhNDc3Y7FYUG+RmZnp5+fn7e1tYWFhampqYWEREhJib29fUlKSmJgYERGRn58PwqLLly8HJe/TzAD/RIAmRW1tbaCeDfrg+AG06O/v7+3t5QxHtLW1jXEigJDFGBN9dHQUmAs//vgjBoPZt2/fpk2bgN8FhULt27fP3NzcxsYGh8OhUCh5eXlhYWF9ff3Nmzd/8803gYGBW7du3b9//4LqDzQhuK6fKiwsnObg0tJSFRUVOTk5Q0PDx48f5+fnq6urgwcuMjLy+fPn4eHhOTk5NTU1NTU1CgoK3t7e4eHhOjo6KioqwBiZa7BYrCtXrtBotMePHzc2NgLVBG7k+eTJE85ens3NzUAcAp6BiogxcdDHjx8rKiqiUKht27Z9/fXXSkpK/Pz88vLyMjIy9vb2QNv19vbG4/Ha2tpKSkrr16/ftGnTihUrVq1ahUAgpKSkpvNYLgRw7S/mqpvf4OBgTEzMvn37/Pz8qqqq6urqnJ2dXVxc4uPjq6uri4qKCASCgYHB7du38/Lyenp6goOD09PT4+LiNm7cmJSUNJ8bvnV3d0+YMgGapXFaXtAHLYfTXAc53oKCgvz8/AEBATgcztTU1MvLS1dX19bW1sDAQEtLS15eHoVC+fj4rFmzZv/+/VZWVuC54uHhWb9+/bFjxxZRwSt3vMnOzp6scdcUqK6uRiKR8vLy586dA9V6Dg4OV69eJRKJNjY2mpqaQ0NDeDzeyMjIwcHh/Pnz8fHxFhYWSkpKUlJSM2vTPzO8fv2asxbu9evXvb29Yzrdk8nkMTZ5U1PTwYMdiv65du2bNGhA8+u2333R1dT09Pb/77rstW7ZYW1uLiIggkcgtW7b8/PPPINUhLCzM2Nj4l19+kZCQiI+Pn8EmtJ8XXOdRTL+VASeoVKqbmxsGg8FiscePHw8ODo6KigoODtbT04uPj29sbDxy5Ii1tXVSUlJ5ebmnp6eHh8eRI0dsbW1Xr15taGg4d3ufdHZ2guwtNpsNViXog/Lb2dkJMiKAnQVLl/r6eqAPtbW1lZeX79u37+uvvxYREUlISDAwMNDT01NRUSEQCAICAjIyMjt37gwMDNTV1RUREVFTU5OWlkahUGg0esWKFTw8PLa2thM2vVr44LrflpubW25u7tmzZ6fubzshHj16pKysrKWldeTIEW9v7+Tk5IsXL965cyckJOTw4cOJiYlxcXHp6emJiYmFhYVnzpwJCgqKj483MjLCYDAxMTEz+MaPgsVicbYhgsEZGYWXD05JU1BQwMvLu3LlSg0NDQKBYGlpuX//fgsLCy0tLXNzc9DJYd++fStWrJCTkzMyMhIVFQ0ODtbV1f3Xv/61du1aLS2tmTWWXyDgjjeOjo5xcXHHjx9fvnz59u3bsVjsoUOH4C0FpoO+vr7o6GglJSVHR0cHB4eoqKjIyMiysjKQkpGSkpKcnBwfHx8dHR0eHh4SEpKcnHzz5k08Hr9582YdHZ25MDTApoSw7c3ZEB9ufMRpWJ07d05UVBT4V5BIpIWFBS8vr4CAgICAABaLNTIyEhERQaPRKioqPDw8CgoK2traKBRKSUkJiUQKCwsLCQnl5+dPnby88MEdb4KCgkB8qrS09N///jcCgfj5559nsM/Pu3fvnJycdu7c6ejoGBkZCdox+fj4xMbGRkZGJicn5+TkJCUlFRUVXbp0iUgkxsXFZWZmBgUFrVq1akygY8YY0yoAxK041ykQeQB+QuA7vnr1qouLy/fff7927VpDQ0MjI6N9+/YpKysvW7ZMSEhIWlpaXl7exMRk27ZtOjo68vLyrq6uIiIiGhoaysrKa9asERISSktL+wKKFSFueWNpaQn32wJZjEVFRRgMJjMzc+ruHhOisrISWObV1dWJiYkeHh54PD48PPzy5ct5eXlEIvHcuXMBAQEFBQUlJSUuLi4ZGRlOTk5mZmaioqIlJSWfeANAZjh4DQgEdB3gIG5ra6urq4OJ1dLS4urqys/P/5///Gf37t0oFCoqKgqFQllYWMjKysrLy5uZme3evVtcXNzS0lJXV1dUVNTLyys2NlZbW3vLli179+49cODAZ9wPfNbBHW/QaHR8fPyYg1euXLG1tcVisSBTnyswmczw8HAcDichIZGQkJCcnBwVFVVcXBwbG3v79u3IyEhHR0dDQ8OMjIyAgABfX99z586dPXtWRERk165daDT6U/rugAwH8JpTzID9YGDGgL1kV6xYgUAgBAUFw8LC1NTUNm7caGlpuXr1anV1dQEBAVVVVRkZGXl5eRcXFykpqfXr19vZ2YmIiCAQCB4eHgKBsEiV3ynAHW80NTUTEhIm/OjYsWPS0tLW1tYz2ECrp6dHTU1t9+7dYIWKiIi4ceNGbGws8DLHxcXh8Xg3NzczM7OamhoPD4+cnJympiYHBwc0Gu3g4DCzdiqcvWeAGQzyjuEBAwMDp0+fXrNmjYKCwsaNGyUlJUGHMx4eHnFxcVVVVWFh4c2bNyMQCDs7u6ioKBwOt23bNj4+PkVFxZ9//nnZsmWCgoJgX7svD9zxBoPBjJc3MKhUanJy8vbt22NjY2ewbJ0/f97U1NTe3j40NDQuLi4wMDA/P7+0tBSHw/n5+e3fv9/Z2bmsrCwlJSUkJOTq1asVFRX+/v7ANTKzsht4A4S2tjaQXwyrqykpKcLCwj/99JOEhISbm5uvr6+RkRGoO7GysjIyMgIyEo1G29nZKSoqZmRkeHl5GRgYhIaGLl++XEpKaormMV8AuOONhYXFFP1EAVpbW7Ozs9FodF5eHreRJiqVGh8fLyQkZGJiUlFRkZWVRSQSPT09Q0JCioqK8vLyTp48mZaWhkKhIiMjg4KCrl69mpmZCYpFoqOjudrtDd6OkEQi9fX1wdkRz58/d3NzW7Vq1bZt23bu3InFYhUVFVVVVdetW7d3715paWlTU1M9PT0QjNyzZ09hYaGQkJCRkVF8fLympqaGhkZmZuZiN5c+Cu544+rqOmE/0fGorKzU19fX1tZ+/Pgxt3O6c+eOj4+Pk5NTYmLiqVOnysvL8Xh8dHR0REQECJ5nZWVlZmaGh4cfPnw4LS2tsLAwMTFRXV193bp1sbGx3H5dc3MzWKdevHjh6en53//+9/vvvxcUFATxgQ0bNoiJiWEwGA0NDWNjYywWa2BggMVitbW1w8LCQAs0cXFxfn5+NTU1f3//hZn2MOuYBb14Cpw+fVpPTy8wMHAGKkh0dLSqqqq5uXloaKiXl1dCQkJ8fLyHhweRSPTy8nJzc4uPj4+Pj4+IiDh06FBBQYGZmZmxsfGuXbssLS3H9wL6KLy9vffs2SMoKCgoKLhjxw5QZmBtbY1EIjU0NIBXxs3Nzd7eXkNDQ1FREYPByMjIoNFoDAaza9cuHx+fhoYGbr908WLW9OLJ0Nvb6+bmhkKh0tLSuDoRgqD29nYbGxs+Pj57e3uQx+Pk5BQaGpqSkuLt7Z2ampqRkREUFHT27Nn8/PyUlBRnZ2dnZ2dTU9M1a9a4ublNJ0xIpVITExO1tLRAwwdZWVngtTMxMdmwYYOOjg6IDKirqwOf586dO/X09PT19dFotLKyspiYGBaLnX6OwBeDOecNwK1bt5BIpLW1NbcPJZ1OLykp0dTUtLOzKykpiYuLy83NbWtrs7Ky2rNnT2RkZFJSUmlpaWZm5uHDh3Nyck6cOBEVFRUQEKCqqiovL19VVTXFxe/cuaOsrIxAIEDptYKCwi+//LJ79+6AgAANDY29e/caGRmpqqoKCgrq6el99913QLSIiYmpqKhoaGioqqoeO3ZssWxyM7uYJ95AEEQmk4H5g8fjuVUCKBTK0aNHNTU1k5KStLS0KioqKisrtbW1jx49+vDhw9LS0rNnz1ZUVNy7dw+Hwzk7O1+6dCkoKCgsLOx///ufn5/feA8hi8Xy9vaWkJCwtLSUlJTU0dHZu3evmpoagUAASeC6uroGBgbm5uZycnKbN2/evn07AoGQkZHB4XD//ve/RUVFZ6D1f0mYP94AvH79GjTLuXDhwmT7mk6G27dvq6ur//bbb1VVVY8fP3Z3d4+Ojj579uzhw4f9/f2PHz9++/Ztf3//M2fOVFRUYLHY9PT0s2fPRkdHS0tLp6SkwM0ZDxw4IC0t/cMPP6xfv97MzExAQEBdXd3a2lpNTS0rK0tUVFRSUtLIyAj0BxEVFdXR0dHU1DQ1Nf35559lZWUPHToEOoP+kzHfvAEoLCxUUVHhSsWGkZqaKikpuWvXrpiYmDNnzri7uycmJkZHR//555+1tbVIJDIzMzMnJyckJMTT0zM+Pj45ObmsrMzIyAiNRgOBt3btWjs7u+joaCEhITc3t3Xr1u3YsQODwQgICDg6OqJQKGlpaVBv+8cff2zcuBG0qt+4cWNERMRi7Aw/F/g8vIEgCGyFDb+9ffv23bt3q6qqpqMAPX361NXVVVpa2sfH59y5c8nJyfb29uXl5bW1taGhocHBwbdu3QoPDw8PDz979qyHh8f+/fvPnTsnIyMDEqk8PDx0dHTMzMwiIyPRaLSGhoaampqpqamDgwMSiVRVVQV1BfLy8hoaGnx8fD/++CMaja6pqZnORrf/EHw23nCCSCSCtJ7t27dPP1OiqqoKhUIZGBiEhIS4u7sTicTa2lp3d3d9ff3g4OCgoCAnJycikQhYcvr0aRQK9c0334DiSAEBAUVFRQsLCxQKRSAQNDQ0QMa4tra2nJzct99+KyYm5uDgwMvLKyMjc+rUqX+m8jsFPj9v7t+/LykpOTw83NLSYmpqylWUe2ho6NChQ+Li4tra2nZ2dhEREebm5oGBgZGRkeBtfHx8dnb21q1bfXx8sFgsAoHQ19eXlZXV0tIyMjJydXXdtm2biYmJoaEhBoMxMzPT1dXV09PT0dFZtmzZzp07c3JyFl0G5/zg8/NGV1fXzs4OgiAvLy8MBjODK7x69SosLGzNmjVEIhH0UgkJCQkKCkpLSzt37lxoaKijoyOIki5btkxERERPT8/R0VFeXl5HR0dJSUlAQEBLS2v37t1CQkLq6uoKCgqysrLx8fGLdPeJ+cHn542wsLCoqOiNGzd4eXnH71MyfZSXl6PRaDMzMwKBcOLECTweDzK/goKCAgMDo6KiXFxcVq1aFRERgUQipaSktLS0fv/9d2VlZXFxcX19fWNjY9AOWENDYyEXvC0QfH7eAJFQUFBw4cKF0tJSzo+4DaozmUwCgQBK18LDw7W1tUNDQ0HjOzwej0KhfvjhBzwev2LFCrBjirS0tJubW0xMzP79+4WFhTEYzMWLF2f1x32x+Py8mQKpqanBwcHcnnXlyhU7OztZWVkvL6/r168bGBjY2NgcOXLE0dHxq6++srCwkJCQ4OPj09TUXL169b59+6SkpHbt2nXy5Mm5yHv/UrGgefPgwQMPDw8/Pz94Y59pYmRkJCYmBhTZFBYWGhkZoVAoDQ2N1atXm5ubW1lZmZiYuLi48PHx8fDwxMbGLim/3GJB8wYgLy8Pg8HgcDhuN6+vr6+3traOi4tTVla2sbExMjL64YcfQJaguLj4unXrsrKy/iFpD7OORcAbCIJGR0dDQ0O1tLQIBAK3zrcLFy5s3rzZzc3N2tr6p59+EhYWXrNmjZOT0/yUoH+pWBy8AXj16pWlpSUWi+X2lnd3d2dlZW3duhWBQCgrK1dWVs7RDP85WEy8ASgqKpKUlDQxMeG2b9mtW7eys7OnuRn4EqbG4uMNBEEkEik1NVVBQYFIJL59+3aaZ3V2doJms0v4dCxK3gAMDQ0Bo6mgoGA6O9D4+fnNrCnCEsZjEfMGoLW11d7e3sbGpry8fOqRAQEBU2w0vwSusOh5A3D//n0JCQkzM7Mpqv4CAwOXNOLZwhfCGwiCRkZG0tPTdXR0YmNjJ8xIX+LNLOLL4Q1Af38/iHWXlZWxWCzOXhlBQUFLvJktfGm8Abh48aKRkZGysjIPDw+s9+BwuBl0PljChPgyeQNBUExMzNdff41AIL7//nsQZvfx8Tl//vznntcXgi+WNy9fvrx3797Ro0eRSKSiouKZM2cIBMKSvJktfLG84QSVSq2pqcHhcFOX4S1h+vhH8AbA3d19aZ2aLXDHG9CfbI6mMtdwdXVdWqdmC9zxBo/Hl5WVzdFU5hq2trZL69RsgTveLOoyIjs7uyXezBa4482ihqWl5RJvZgv/IN7Y29sv6TezhX8QbwwNDT8aM1/CNPEP4s1ff/01D/tP/0Pwf0VLr7FIjHQQAAAAAElFTkSuQmCC

Profile image of Shane Macguire
11 Years agoGrade upto college level
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1 Answer

Profile image of Deepak Patra
11 Years ago
The distance h is given as:
233-1449_1.PNG
Therefore the moment of inertia of the uniform block about the axis through one corner and perpendicular to large face of the block is M (a2 + b2)/3.