1, A block of mass m and a wedge of mass M in the shape of a quarter cylinder are free to move on a frictionless horizontal surface. The block moving with speed vo collides with the stationary wedge and smoothly starts to climb up its cylindrical frictionless surface. (a) To what maximum height will the block reach? (b) It is observed that the velocity of the block after it slides back to the horizontal surface is - vo/2. Calculate the ratio m/M. (c) What is the speed of the wedge after the block slides back down? m Vo - R M 16.0

1, A block of mass m and a wedge of mass M in the shape of a quarter cylinder are free to move on a frictionless horizontal surface. The block moving with speed vo collides with the stationary wedge and smoothly starts to climb up its cylindrical frictionless surface. (a) To what maximum height will the block reach? (b) It is observed that the velocity of the block after it slides back to the horizontal surface is - vo/2. Calculate the ratio m/M. (c) What is the speed of the wedge after the block slides back down? m Vo - R M 16.0

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 73P: Find the center of mass of a cone of uniform density that has a radius R at the base, height h, and...

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Concept explainers

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

Question

1, A block of mass m and a wedge of mass M in the shape of a quarter cylinder are
free to move on a frictionless horizontal surface. The block moving with speed vo
collides with the stationary wedge and smoothly starts to climb up its cylindrical
frictionless surface.
(a) To what maximum height will the block reach?
(b) It is observed that the velocity of the block after it slides back to the
horizontal surface is - vo/2. Calculate the ratio m/M.
(c) What is the speed of the wedge after the block slides back down?
m
Vo
R
M
16.0

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