Q1: The acceleration of a body executing simple harmonic motion

Phys101
Term:131
Online HW-Ch15-Lec01
Q1:
The acceleration of a body executing simple harmonic motion leads the velocity by
what phase?
A. 0
B.π/8
C. π /4 rad
D. π /2 rad
E. π rad
Ans:
D
Q2:
A block attached to a spring oscillates in simple harmonic motion along the x axis.
The limits of its motion are x = 10cm and x = 50 cm and it goes from one of these
extremes to the other in 0.25 s. What is the maximum speed (in SI unit) of block?
Ans:
vm = ωym =
vm =
=
π
y
t m
π (50 − 10) × 10−2
2
0.25
3.14
× 20 × 10−2
0.25
= 2.5 m/s
Q3:
The maximum speed of a 3.00-kg object executing simple harmonic motion is
6.00 m/s. The maximum acceleration of the object is 5.00 m/s2. What is its period of
oscillations?
Ans:
am = −ω2 ym
= −ωym . ω
⇒ am = vm ω = vm
⇒T=
2π
T
2πvm 2 × 3.14 × 6
=
= 7.54 s
am
5
KFUPM-Physics Department
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