Centre of Mass 4 Question 5

6. There is a rectangular plate of mass Mkg of dimensions (a×b). The plate is held in horizontal position by striking n small balls uniformly each of mass m per unit area per unit time.These are striking in the shaded half region of the plate. The balls are colliding elastically with velocity v. What is v ?

It is given n=100,M=3kg,m=001kg;

b=2m;a=1m;g=10m/s2.

(2006, 6M)

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Answer:

Correct Answer: 6. 10m/s

Solution:

  1. F=ΔpΔt=n×a×b2×(2mv)

Equating the torque about hinge side, we have

n×a×b2×(2mv)×3b4=Mg×b2

Substituting the given values, we get



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