Problem 7: A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m, moving with speed V, strikes the rod at angle 0 from the normal and sticks to the rod after the collision. D M V. т Part (a) What is the total moment of inertia, I, with respect to the hinge, of the rod-ball-system after the collision? SchematicChoice : ML2 + mD² 12 (M+m)L² ML2 + mL? I 3 3 ML2 + mD² 3 Part (b) What is the angular speed wf of the system immediately after the collision, in terms of system parameters and I? Expression : Of = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(0), sin(a), sin(0), a, ß, D, g, h, I, L, m, M, t, V

Problem 7: A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m, moving with speed V, strikes the rod at angle 0 from the normal and sticks to the rod after the collision. D M V. т Part (a) What is the total moment of inertia, I, with respect to the hinge, of the rod-ball-system after the collision? SchematicChoice : ML2 + mD² 12 (M+m)L² ML2 + mL? I 3 3 ML2 + mD² 3 Part (b) What is the angular speed wf of the system immediately after the collision, in terms of system parameters and I? Expression : Of = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(0), sin(a), sin(0), a, ß, D, g, h, I, L, m, M, t, V

University Physics Volume 1

18th Edition

ISBN:9781938168277

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

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

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 60P: A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed...

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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

RMQ7: please answer all parts and explain steps

Problem 7: A rod of mass M and length L can rotate about a hinge at its left end and is
initially at rest. A putty ball of mass m, moving with speed V, strikes the rod at angle 0
from the normal and sticks to the rod after the collision.
D
M
V.
т
Part (a) What is the total moment of inertia, I, with respect to the hinge, of the rod-ball-system after the collision?
SchematicChoice :
ML2
+ mD²
(M+m)L²
ML2
+ mL?
3
I
12
3
ML2
+ mD²
3
Part (b) What is the angular speed wf of the system immediately after the collision, in terms of system parameters and I?
Expression :
Of =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(0), sin(a), sin(0), a, ß, D, g, h, I, L, m, M, t, V

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