Examples, Concept Questions and Problems

1
Examples, Concept Questions and Problems
Chapter 10
0.080 m
m 0.080 kg
1.57 rad/s
0.197 N/m
0 m/s
0.197 m/s2
?L ?
From Table 10.1 Ycopper 1.1?1011 Pa Ybrass
9.0?1010 Pa
F 6500 N
R 0.25 cm
2
Examples, Concept Questions and Problems
Chapter 10
(A)
31.9 rad/s
Problem 10-35
3
Examples, Concept Questions and Problems
Chapter 10
Problem 10-34
V1 1.23 m/s and V2 0.583 m/s
4
Examples, Concept Questions and Problems
Chapter 10
2.96 m/s
PE mgh
Problem 10-31
(D)
5
Examples, Concept Questions and Problems
Chapter 10
8. When a 0.20-kg block is suspended from a
vertically hanging spring, it stretches the
spring from its original length of 0.050 m to
0.060 m. The same block is attached to the same
spring and placed on a horizontal, frictionless
surface. The block is then pulled so that the
spring stretches to a total length of 0.10 m.
The block is released at time t 0 and undergoes
simple harmonic motion. What is the frequency of
the motion?
(C)
A) 0.50 Hz B) 1.00 Hz C) 5.0 Hz D) 10.0
Hz E) 31 Hz
9. Which one of the following expressions gives
the displacement of the block as a function of
time? Let x be in cm and t in seconds.
(A)
A) x 5 cos(10?t) C) x 10 cos(5?t) D) x
10 sin(5?t) B) x 5 sin(10?t) E) x 10
cos(10?t)
10. Which is the speed of the block each time the
spring is 5.0 cm long?
(E)
A) zero B) 5 cm/s C) 16 cm/s D) 100
cm/s E) 157 cm/s
11. Which is the maximum acceleration of the
block?
(C)
A) 1.57 m/s2 B) 3.14 m/s2 C) 49 m/s2 D)
98 m/s2 E) 157 m/s2
12. What is the total mechanical energy of the
system at any instant?
(A)
A) 0.25 J B) 0.49 J C) 0.98 J D) 4.9
J E) 9.8 J
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Examples, Concept Questions and Problems
Chapter 10
13. Complete the following statement In order to
increase the frequency of the motion, one would
have to A) reduce the spring constant. B)
increase the distance that the spring is
initially stretched. C) increase the length of
the spring. D) reduce the distance that the
spring is initially stretched. E) decrease the
mass of the block on the end of the spring.
(E)
14. Which one of the following statements is true
concerning the motion of the block? A) Its
acceleration is constant. B) The period of
its motion depends on its amplitude. C) Its
acceleration is greatest when the spring returns
to the 5.0 cm position. D) Its velocity is
greatest when the mass has reached its maximum
displacement. E) Its acceleration is
greatest when the mass has reached its maximum
displacement.
(E)
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Examples, Concept Questions and Problems
Chapter 10
15. A cable stretches by an amount d when it
supports a crate of mass M. The cable is then
cut in half. (a) If the same crate is supported
by either half of the cable, by how much will the
cable stretch?
A) d B) d/2 C) d/4 D) 2d E) 4d
(B)
(b) What is the mass of the load that can be
supported by either half of the cable if the
cable stretches by an amount d ?
A) M/4 B) M/2 C) M D) 2M E) 4M
(D)
16. In a certain clock, a pendulum of length L1
has a period T1 0.95 s. The length of the
pendulum is adjusted to a new value L2 such that
T2 1.00 s. What is the ratio L2/L1?
A) 0.90 B) 0.95 C) 1.0 D) 1.1 E)
1.3
(D)
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Thsee problems can be seen in the homepage of the
course (announcements)
Final Comprehensive Exam Tuesday, May 6, 745
AM, 135 Fisher
Thank you for your attention
?
My office hours Monday through Wednesday, 200
400 pm
9
These problems can be seen in the homepage of the
course (announcements)
Final Comprehensive Exam Tuesday, May 6, 745
AM, 135 Fisher
Thank you for your attention
?
My office hours Monday through Wednesday, 200
400 pm