PHSX 211 Final Exam Makeup7 21. A 0.42 kg mass oscillates according to the equat

Question

PHSX 211 Final Exam Makeup7 21. A 0.42 kg mass oscillates according to the equation x() 6.2 cos(370), where t is in seconds and x is in meters. The argument of the cosine function is in radians. At which of these times is the speed of the object the largest? a) 0 s b) 0.0425 s c) 0.0850 s d) 1 s e) 37 s 22. A 0.42 kg mass oscillates according to the equation x(t)-62 cos(37), where t is in seconds and x is in meters. The argument of the cosine function is in radians. What are the amplitude and period of this motion? a) amplitude 37 m, period -6.2s b) amplitude 0.17 m, period- 5.9 s c) amplitude 37 m, period 5.9s d) amplitude 6.2 m, period 37s e) amplitude- 6.2 m, period 0.17s

Explanation / Answer

21)

V= dx/dt= -6.2*37 sin (37t)

For max velocity

Sin (37t)= 1

37t= pi/2

t= 0.0425 s

Option (b) is correct.

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22).

Amplitude, A= 6.2 m

w= 37

2*3.14/T= 37

T= 0.17 s

Option (e) is correct.

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Comment in case any doubt.. good luck

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