Problem 15.40 Part A What is the amplitude of oscillation? A 170 g block attache

Question

Problem 15.40 Part A What is the amplitude of oscillation? A 170 g block attached to a spring with spring constant 2.9 N/m oscillates horizontally on a frictionless table. Its velocity is 21 cm/s when To4.8 cm Express your answer to two significant figures and include the appropriate units A ValueUnis Submit My Answers Give Up Part B What is the block's maximum acceleration? Express your answer to two significant figures and include the appropriate units IA amax = Value Units Submit My Answers Give Up

Explanation / Answer

part(A)

mass m = 0.17 kg

spring constant k = 2.9 N/m

angular frequency w = sqrt(k/m) = 4.13 /s

speed of particle in SHM v = w*sqrt(A^2-x^2)

21 = 4.13*sqrt(A^2-4.8^2)

A = 7 cm

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part(B)

acceleration a = w^2*A

a = 4.13^2*7

a = 120 cm/s^2

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part(c)

block is at the maximum displacement

x = A = 7 cm

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part(d)

v1 = w*sqrt(A^2-x1^2)

v1 = 4.13*sqrt(7^2-3.5^2)

v1 = 25.04 cm/s

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