Question

P.15.106 A Simple harmonic oscillator is a block attached to a spring with constant k = 200 N/m. The block slides on a frictionless surface with equilibrium point x=0 to max. amplitude 0.2 m. See the graph of the block's velocity below, ts = 0.2 s. What are (a) the period of the SHM, (b) the block's mass, (c) its displacement at t = 0, (d) its acceleration at t = 0.1s and (e) its maximum kinetic energy? v (m/s) 2? 0 ts t (s) -2?

Name: P.15.106 A Simple harmonic oscillator is a block attached to a spring with constant k = 200 N/m. The block slides on a frictionless surface with equilibrium point x=0 to max. amplitude 0.2 m. See the graph of the block's velocity below, ts = 0.2 s. What are (a) the period of the SHM, (b) the block's mass, (c) its displacement at t = 0, (d) its acceleration at t = 0.1s and (e) its maximum kinetic energy? v (m/s) 2? 0 ts t (s) -2?
Uploaded: 2022-02-09T11:07:16-08:00
Duration: 4 min 55 s
Channel: Arjun Singh

          P.15.106 A Simple harmonic oscillator is a block attached to a spring with constant k = 200 N/m. The block slides on a frictionless surface with equilibrium point x=0 to max. amplitude 0.2 m. See the graph of the block's velocity below, ts = 0.2 s. What are (a) the period of the SHM, (b) the block's mass, (c) its displacement at t = 0, (d) its acceleration at t = 0.1s and (e) its maximum kinetic energy? v (m/s) 2? 0 ts t (s) -2?

P.15.106 A Simple harmonic oscillator is a block attached to a spring with constant k = 200 N/m. The block slides on a frictionless surface with equilibrium point x=0 to max. amplitude 0.2 m. See the graph of the block's velocity below, ts = 0.2 s. What are (a) the period of the SHM, (b) the block's mass, (c) its displacement at t = 0, (d) its acceleration at t = 0.1s and (e) its maximum kinetic energy? v (m/s) 2? 0 ts t (s) -2?

Added by Alex A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Arjun Singh

02/09/2022

Step 1

- From the graph, the velocity function is sinusoidal with a period \( t_s = 0.2 \, \text{s} \). - The period \( T \) of the simple harmonic motion is twice the time for one complete cycle of the velocity graph. - Therefore, \( T = 2 \times 0.2 \, \text{s} = 0.4 Show more…

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P15.106 A Simple harmonic oscillator is a block attached to a spring with constant k = 200 N/m. The block slides on a frictionless surface with equilibrium point x = 0 to maximum amplitude 0.2 m. See the graph of the block's velocity below, ts = 0.2 s. What are (a) the period of the SHM, (b) the block's mass, (c) its displacement at t = 0, (d) its acceleration at t = 0.1 s, and (e) its maximum kinetic energy?