PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
6th Edition
ISBN: 9781429206099
Author: Tipler
Publisher: MAC HIGHER
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Chapter 9, Problem 128P
(a)
To determine
To Calculate:Thefrictional force acting between the horizontal surface and the cylinder.
(b)
To determine
To Calculate:The acceleration of the center of the cylinder.
(c)
To determine
To Show:It is possible to choose
(d)
To determine
Direction of frictional force in circumstances of part (c).
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A solid cylinder of radius d=0.5m and mass M=4kg is released from rest at the top of an incline makingan angle of 45 degrees with the horizontal. The cylinder elevation to the center of mass is h = 12m. Youcan assume that the cylinder is rolling without slipping.a) Find the total kinetic energy of the cylinder at the top of the loop of R=3mb) Determine the minimum height h that allows the cylinder to make it through the loop (it neverloses contact with the track)c) If you replace the cylinder with a spherical thin shell of the same radius d=0.5m and the samemass M=4kg, explain in detail how the answer to the minimum h of part b) would change. ANDCalculate the change if any.
A uniform solid sphere of mass 6.0 kg and radius 10 cm is rolling without slipping along a horizontal surface with a speed of4.9m/s (this is the speed of the center of mass) when it starts up a ramp that makes an angle of 30° with the horizontal.
a)What is the maximum distance it can go up the ramp, measured along the surface of the ramp?
b)While the ball is moving up the ramp, find
i)the acceleration (magnitude and direction) of its center of mass and
ii)the friction force (magnitude and direction) acting on it due to the surface of the ramp.
Moment of inertia of a solid sphere is ???=?????.
Directions must be given as either up the ramp or down the ramp.
The 11 kg disk has an angular velocity of w = 20 rad/s. (Figure 1)
Figure
400 mm
500 mm.
200 mm-
↓
B
500 mm --
P (N)
2
-t(s)
1 of 1
If the brake ABC is applied such that the magnitude of force P varies with time as shown, determine the time needed to stop the disk. The coefficient of kinetic friction at B is μk = 0.4.
Neglect the thickness of the brake.
Express your answer to three significant figures and include the appropriate units.
t = 5.86
μА
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Chapter 9 Solutions
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
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