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PROBLEM 17.CQ2
A solid steel sphere A of radius r and mass m is released from rest and rolls without slipping down an incline
as shown. After traveling a distance d the sphere has a speed v. If a solid steel sphere of radius 2r is released
from rest on the same incline, what will its speed be after rolling a distance d?
(a) 0.25 v
(b) 0.5 v
(c) v
(d) 2v
(e) 4v
PROBLEM 17.CQ3
Slender bar A is rigidly connected to a massless rod BC in Case 1 and two massless cords in Case 2 as shown.
The vertical thickness of bar A is negligible compared to L. In both cases A is released from rest at an angle
. When
0° which system will have the larger kinetic energy?
(a) Case 1
(b) Case 2
(c) The kinetic energy will be the same.
PROBLEM 17.CQ4
In Problem 17.CQ3, how will the speeds of the centers of gravity compare for the two cases when
0°?
(a) Case 1 will be larger.
(b) Case 2 will be larger.
(c) The speeds will be the same.
PROBLEM 17.CQ5
Slender bar A is rigidly connected to a massless rod BC in Case 1 and two massless cords in Case 2 as shown.
The vertical thickness of bar A is not negligible compared to L. In both cases A is released from rest at an
angle 0.
When
which system will have the largest kinetic energy?
(a) Case 1
(b) Case 2
(c) The kinetic energy will be the same.
PROBLEM 17.CQ6
Slender bar A is rigidly connected to a massless rod BC in Case 1 and two massless cords in Case 2 as shown.
The vertical thickness of bar A is negligible compared to L. If bullet D strikes A with a speed v0 and becomes
embedded in it, how will the speeds of the center of gravity of A immediately after the impact compare for the
two cases?
(a) Case 1 will be larger.
(b) Case 2 will be larger.
(c) The speeds will be the same.
PROBLEM 17.CQ7
A 1-m long uniform slender bar AB has an angular velocity of 12 rad/s and its
center of gravity has a velocity of 2 m/s as shown. About which point is the
angular momentum of A smallest at this instant?
(a) P1
(b) P2
(c) P3
(d) P4
(e) It is the same about all the points.
PROBLEM 17.F1
The 350-kg flywheel of a small hoisting engine has a radius of gyration of
600 mm. If the power is cut off when the angular velocity of the flywheel
is 100 rpm clockwise, draw an impulse-momentum diagram that can be
used to determine the time required for the system to come to rest.
PROBLEM 17.F2
A sphere of radius r and mass m is placed on a horizontal floor with no linear velocity
but with a clockwise angular velocity 0.
Denoting by k
the coefficient of kinetic
friction between the sphere and the floor, draw the impulse-momentum diagram that
can be used to determine the time t1 at which the sphere will start rolling without
sliding.
PROBLEM 17.F3
Two panels A and B are attached with hinges to a rectangular
plate and held by a wire as shown. The plate and the panels are
made of the same material and have the same thickness. The
entire assembly is rotating with an angular velocity 0 when the
wire breaks. Draw the impulse-momentum diagram that is
needed to determine the angular velocity of the assembly after
the panels have come to rest against the plate.
PROBLEM 17.F4
A uniform slender rod AB of mass m is at rest on a frictionless
horizontal surface when hook C engages a small pin at A.
Knowing that the hook is pulled upward with a constant
velocity v
0
, draw the impulse-momentum diagram that is
needed to determine the impulse exerted on the rod at A and B.
Assume that the velocity of the hook is unchanged and that the
impact is perfectly plastic.
PROBLEM 17.F5
A uniform slender rod AB of length L is falling freely
with a velocity v
0
when cord AC suddenly becomes
taut. Assuming that the impact is perfectly plastic,
draw the impulse-momentum diagram that is needed
to determine the angular velocity of the rod and the
velocity of its mass center immediately after the cord
becomes taut.
PROBLEM 17.F6
A slender rod CDE of length L and mass m is attached to a pin
support at its midpoint D. A second and identical rod AB is
rotating about a pin support at A with an angular velocity
1
when its end B strikes end C of rod CDE. The coefficient of
restitution between the rods is e. Draw the impulse-momentum
diagrams that are needed to determine the angular velocity of
each rod immediately after the impact.
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