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Ch 14 Supplemental
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Ch 14 Supplemental
Due: 11:00pm on Thursday, December 1, 2016
To understand how points are awarded, read the Grading Policy for this assignment.
Exercise 14.7
Description: A ## kg ball is attached to an unknown spring and allowed to oscillate. The figure shows a graph of the
ball's position x as a function of time t . (a) For this motion, what is the period? (b) What is the frequency? (c) What is the
angular...
A 2.40 kg ball is attached to an unknown spring and allowed to oscillate. The figure shows a graph of the ball's position x as
a function of time t .
Part A
For this motion, what is the period?
ANSWER:
T
= 0.800 s Part B
What is the frequency?
ANSWER:
f
= 1.25 Hz Part C
What is the angular frequency?
ANSWER:
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ω
= 7.85 rad/s Part D
What is the amplitude?
ANSWER:
A
= 3.00 cm Part E
What is the force constant of the spring?
ANSWER:
= k
= 148 N/m Exercise 14.19
Description: On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force constant k. The
graph in the figure shows the acceleration of the glider as a function of time. (a) Find the mass of the glider. (b) Find the...
On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force constant 3.30 N/cm . The graph
in the figure shows the acceleration of the glider as a function of
time.
Part A
Find the mass of the glider.
ANSWER:
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m
= 0.334 kg = Part B
Find the maximum displacement of the glider from the equilibrium point.
ANSWER:
A
= 1.22 cm Part C
Find the maximum force the spring exerts on the glider.
ANSWER:
F max
= = 4.01 N Exercise 14.26
Description: 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 A and the period is T. (a) What is the acceleration of the block when x= x? (b) What is the
speed of the block ...
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 0.230 m and the period is 3.20 s .
Part A
What is the acceleration of the block when x
0.160 m ?
=
Express your answer with the appropriate units.
ANSWER:
ax
= = ­0.617
Part B
What is the speed of the block when x
0.160 m ?
=
Express your answer with the appropriate units.
ANSWER:
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vx
= = 0.324
Exercise 14.54
Description: We want to support a thin hoop by a horizontal nail and have the hoop make one complete small­angle
oscillation each 2.0 s. (a) What must the hoop's radius be?
We want to support a thin hoop by a horizontal nail and have the hoop make one complete small­angle oscillation each 2.0 s.
Part A
What must the hoop's radius be?
ANSWER:
R
= 0.496 m Exercise 14.55
Description: A 1.80­kg connecting rod from a car engine is pivoted about a horizontal knife edge as shown in the figure .
The center of gravity of the rod was located by balancing and is 0.200 m from the pivot. When it is set into small
amplitude oscillation, the...
A 1.80­kg connecting rod from a car engine is pivoted about a horizontal knife edge as shown in the figure . The center of
gravity of the rod was located by balancing and is 0.200 m from the
pivot. When it is set into small amplitude oscillation, the rod makes
100 complete swings in 120 s.
Part A
Calculate the moment of inertia of the rod about the rotation axis through the pivot.
ANSWER:
I
= 0.129 kg ⋅ m2 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=4938677
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