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There is a rectangular plate of mass M kg of dimensions (a × b). The plate is held in horizontal position by striking n small balls 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?

There is a rectangular plate of mass M kg of dimensions (a × b). The plate is held in horizontal position by striking n small balls 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?

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Grade:11

1 Answers

Vikas TU
14149 Points
7 years ago
Just apply the concept of Torque simply at the hinged:
2mv*(abn/2 )= 3b*Mg*b/2
v = (2/3)Mg/mnb
 
after putting the values we get
v = 10 m/s approx.

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