Grade 12th passMechanics

BLOCK A in fig wighs 2N and block B weighs 4N .the coefficient of kinetic friction between all surgasur is 0.3 .find magnitude of horizontal force necessary to drag block B to left at constant speed if A and B are connected by light flexible cord passing around fixed pulley

Question image for BLOCK A in fig wighs 2N and block B weighs 4N .th

Anand Mishra

8 Years agoGrade 12th pass

1 Answer

Venkat

Approved Tutor Answer8 Years ago

Freed body diagram of B:

F will be left

T will be on right

N₂ will be on top of block acting downward

f₂ will be on top of block acting rightwards

f₁ will be on bottom of block acting rightwards

m_Bg will be acting downwards from CG of block

N₁ will be acting upwards at bottom of block

F = T+f₁+f₂

N₁= N₂+m_Bg

f₁ = mu*N_{1 ,}f₂ = mu*N_{2 ,}

F = T+mu(N₁+N₂)

F = T+mu(N₂+m_Bg+N₂) = T+mu(2N₂+m_Bg)

Given that m_Bg = 4N, mu = 0.3

F = T+0.3(2N₂+4)

Fred body diagram of A

T will be on right

N₂ will be acting upwards at bottom of block

f₂ will be at bottom of block acting leftwards

m_Ag will be acting downwards from CG of block

T = f₂= muN₂ = mu(m_Ag) = 0.3 * 2N = 0.6N

F = 0.6 + 0.3(2*0.6+4) = 2.16 N

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BLOCK A in fig wighs 2N and block B weighs 4N .the coefficient of kinetic friction between all surgasur is 0.3 .find magnitude of horizontal force necessary to drag block B to left at constant speed if A and B are connected by light flexible cord passing around fixed pulley

Anand Mishra

1 Answer

Venkat

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