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one end of uniform rod of mass m and length l is clamped.the rod lies on smooth horizontal surface and rotates about its clamped endat an uniform angular velocity w.what is the horizontal component of force exerted by clamp on rod?

one end of uniform rod of mass m and length l is clamped.the rod lies on smooth horizontal surface and rotates about its clamped endat an uniform angular velocity w.what is the horizontal component of force exerted by clamp on rod?

Grade:

2 Answers

shanky shanky
18 Points
11 years ago

thank you for puting up this que.

may be -mw2r-centripetal force

Chiranjeevi .P
29 Points
10 years ago

Dear Apoorv Jain

In rotational motion the angular velocity is constant for all points.Consider a small piece of mass "dm" then force is dF.

dF=(dm)xw2

L length→M mass

for small portion dx→?

=Mdx/L

now F=∫(M/L)w2 x dx between limits 0 to L.

Finally F=(1/2)MLw2

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