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In Fig. 15-49a, a metal plate is mounted on an axle

Chapter , Problem 54

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QUESTION:

In Fig. 15-49a, a metal plate is mounted on an axle through its center of mass.A spring with k 2000 N/m connects a wall with a point on the rim a distance r $ 2.5 cm from the center of mass. Initially the spring is at its rest length. If the plate is rotated by 7) and released, it rotates about the axle in SHM, with its angular position given by Fig.15-49b.The horizontal axis scale is set by ts $ 20 ms.What is the rotational inertia of the plate about its center of mass?

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QUESTION:

In Fig. 15-49a, a metal plate is mounted on an axle through its center of mass.A spring with k 2000 N/m connects a wall with a point on the rim a distance r $ 2.5 cm from the center of mass. Initially the spring is at its rest length. If the plate is rotated by 7) and released, it rotates about the axle in SHM, with its angular position given by Fig.15-49b.The horizontal axis scale is set by ts $ 20 ms.What is the rotational inertia of the plate about its center of mass?

ANSWER:

Problem 54

In Fig. 15-49a, a metal plate is mounted on an axle through its center of mass.A spring with k = 2000 N/m connects a wall with a point on the rim a distance r = 2.5 cm from the center of mass. Initially the spring is at its rest length. If the plate is rotated by  and released, it rotates about the axle in SHM, with its angular position given by Fig.15-49b.The horizontal axis scale is set by ms. What is the rotational inertia of the plate about its center of mass?

                                                               Step by Step Solution

Step 1 of 3

Given:

Initial angular displacement of the metal plate:

Spring constant:

Radius of the metallic plate:

Time is set to

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