616 Solutions Manual
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 617
Problem 3.133
Two blocks Aand Bweighing 123 and 234 lb, respectively, are released
from rest as shown. At the moment of release the spring is unstretched. In
solving these problems, model
A
and
B
as particles, neglect air resistance,
and assume that the cord is inextensible. Hint: If
B
hits the ground, then
its maximum displacement is equal to the distance between the initial
position of Band the ground.
Determine the maximum displacement and the maximum speed of
block
B
if
˛D20ı
, the contact between
A
and the incline is frictionless,
and the spring constant is kD30 lb=ft.
Solution
618 Solutions Manual
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 619
Problem 3.134
Two blocks Aand Bweighing 123 and 234 lb, respectively, are released
from rest as shown. At the moment of release the spring is unstretched. In
solving these problems, model
A
and
B
as particles, neglect air resistance,
and assume that the cord is inextensible. Hint: If
B
hits the ground, then
its maximum displacement is equal to the distance between the initial
position of Band the ground.
Determine the maximum displacement and the maximum speed of
block
B
if
˛D20ı
, the contact between
A
and the incline is frictionless,
and the spring constant is kD300 lb=ft.
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
620 Solutions Manual
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 621
Problem 3.135
Two blocks Aand Bweighing 123 and 234 lb, respectively, are released
from rest as shown. At the moment of release the spring is unstretched. In
solving these problems, model
A
and
B
as particles, neglect air resistance,
and assume that the cord is inextensible. Hint: If
B
hits the ground, then
its maximum displacement is equal to the distance between the initial
position of Band the ground.
Determine the maximum displacement and the maximum speed of
block
B
if
˛D35ı
, the static and kinetic friction coefficients are
sD
0:25 and kD0:2, respectively, and the spring constant is kD25 lb=ft.
Solution
622 Solutions Manual
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 623
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
624 Solutions Manual
Problem 3.136
In the ride shown, a person
A
sits in a seat that is attached by
a cable of length
L
to a freely moving trolley
B
of mass
mB
.
The total mass of the person and the seat is
mA
. The trolley is
constrained by the beam to move in only the horizontal direction.
The system is released from rest at the angle
✓D✓0
and is allowed
to swing in the vertical plane. Neglect the mass of the cable, and
treat the person and the seat as a single particle.
Derive the system’s equations of motion, using the position of
the trolley and the angle ✓as dependent variables.
Solution
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permission of McGraw-Hill, is prohibited.