A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. The amplitude of the motion is 0.240 m and the period is 3.08 s.a. What is the acceleration of the block when x = 0.160 m?b. What is the speed of the block when x = 0.160 m?

Question
Asked Oct 21, 2019

A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. The amplitude of the motion is 0.240 m and the period is 3.08 s.

a. What is the acceleration of the block when x = 0.160 m?

b. What is the speed of the block when x = 0.160 m?

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Step 1

(a)

The maximum speed of the block at time T,

The position of the block,

 

T 3.08 s
x 0.160 m
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T 3.08 s x 0.160 m

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Step 2

The angular frequency,

The acceleration of the block,

2л
о-
т
а3-ох
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2л о- т а3-ох

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Step 3

The acceleration of the blo...

2T
x0.160 m
3.08 s
= (-2.039 rad/s) x 0.160 m
0.665 m/s
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2T x0.160 m 3.08 s = (-2.039 rad/s) x 0.160 m 0.665 m/s

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