A thin rod of length 2L and mass M lies flat on a frictionless plane. It is not hinged (attached) to anything. A small ball of mass m, traveling with velocity Vo, strikes the rod at a distanceh from the rod's center of mass. The collision is elastic. The ball continues to move along the original line of motion after the collision. The rod moves on the plane and rotates around its center of mass. After the collision, we want to determine the rod translational velocity, the rod angular velocity and the ball final velocity. a) Write three equations to find these three unknowns based on m, M, L, h and vo. Do not try to solve the equations. b) If the collision were inelastic and the rod was hinged at its center CM, what would be the rotational angular velocity of the system after the collision? Top view m Yo L h CM M

A thin rod of length 2L and mass M lies flat on a frictionless plane. It is not hinged (attached) to anything. A small ball of mass m, traveling with velocity Vo, strikes the rod at a distanceh from the rod's center of mass. The collision is elastic. The ball continues to move along the original line of motion after the collision. The rod moves on the plane and rotates around its center of mass. After the collision, we want to determine the rod translational velocity, the rod angular velocity and the ball final velocity. a) Write three equations to find these three unknowns based on m, M, L, h and vo. Do not try to solve the equations. b) If the collision were inelastic and the rod was hinged at its center CM, what would be the rotational angular velocity of the system after the collision? Top view m Yo L h CM M

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

A thin rod of length 2L and mass M lies flat on a frictionless plane. It is not hinged (attached)
to anything.
A small ball of mass m, traveling with velocity vo, strikes the rod at a distance h from the
rod's center of mass.
The collision is elastic. The ball continues to move along the original line of motion after the
collision. The rod moves on the plane and rotates around its center of mass.
After the collision, we want to determine the rod translational velocity, the rod angular
velocity and the ball final velocity.
a) Write three equations to find these three unknowns based on m, M, L, h and vo. Do not try
to solve the equations.
b) If the collision were inelastic and the rod was hinged at its center CM, what would be the
rotational angular velocity of the system after the collision?
Top view
CM
M

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