6 Problem Consider the inverted pendulum shown below that consists of a massless rod of length L and a pendulum bob, P, of mass m. The pendulum is initially at rest in position A when it is struck by a hammer. The average force magnitude applied by the hammer to the bob is F in the horizontal direction. The impulsive force is only applied for a very short time of T seconds. Part A: (Angular Momentum) Determine the angular momentum vector, hp/o, of the bob im- mediately after it is struck in terms of one or more of the following variables: (m, L, F, T,g). Part B: (Conservation of Energy) A short while later, the pendulum bob reaches a maximum height of h and is in position B. It has zero velocity at this instant. Determine h in terms of one or more of the following variables: (m, L, F, T,g). [Hint: determine the speed of the bob after impact from your answer in Part A.] L 0 Fm P Position A Position B h g

6 Problem Consider the inverted pendulum shown below that consists of a massless rod of length L and a pendulum bob, P, of mass m. The pendulum is initially at rest in position A when it is struck by a hammer. The average force magnitude applied by the hammer to the bob is F in the horizontal direction. The impulsive force is only applied for a very short time of T seconds. Part A: (Angular Momentum) Determine the angular momentum vector, hp/o, of the bob im- mediately after it is struck in terms of one or more of the following variables: (m, L, F, T,g). Part B: (Conservation of Energy) A short while later, the pendulum bob reaches a maximum height of h and is in position B. It has zero velocity at this instant. Determine h in terms of one or more of the following variables: (m, L, F, T,g). [Hint: determine the speed of the bob after impact from your answer in Part A.] L 0 Fm P Position A Position B h g

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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Question

Problem
Consider the inverted pendulum shown below that consists of a massless rod of length L and a
pendulum bob, P, of mass m. The pendulum is initially at rest in position A when it is struck by
a hammer. The average force magnitude applied by the hammer to the bob is F in the horizontal
direction. The impulsive force is only applied for a very short time of T seconds.
6
Part A: (Angular Momentum) Determine the angular momentum vector, hp/o, of the bob im-
mediately after it is struck in terms of one or more of the following variables: (m, L, F, T,g).
Part B: (Conservation of Energy) A short while later, the pendulum bob reaches a maximum
height of h and is in position B. It has zero velocity at this instant. Determine h in terms of one
or more of the following variables: (m, L, F, T,g). [Hint: determine the speed of the bob after
impact from your answer in Part A.]
O
L
Ө
Fm
P
Position A
Position B
h
g

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