Question

A solid sphere of radius r and mass m is released from a rest on a track. At a height h above a horizontal surface. The sphere rolls without slipping with its motion continuing around a loop of radius R<<r

A) If R=0.3h, what is the speed of the sphere when it reaches the top of the loop? Your response must be expressed in terms of some or all of the quantities given above and physical and numerical constants

B) What is the normal force acting on the sphere when it is at the top of the loop? Your response must be expressed in terms of some or all of the quantities given above and physical and numerical constants

Answer #1

A sphere of mass M, radius r, and rotational inertia I is
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shown above. (diagram not shown)
If the plane has friction so that the sphere rolls without
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A hollow sphere (mass M, radius R) starts from rest at the top
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Find an expression for the speed of the ball's center of mass once
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A sphere of radius r=34.5 cm and mass m= 1.80kg starts from rest
and rolls without slipping down a 30.0 degree incline that is 10.0
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A
2.9 kg solid sphere (radius = 0.15 m) is released from rest at the
top of a ramp and allowed to roll without slipping. The ramp is
0.85 m high and 5.2 m long.
1. When the sphere reaches the bottom of the ramp, what are
its total kinetic energy,
2. When the sphere reaches the bottom of the ramp, what is its
rotational kinetic energy?
3. When the sphere reaches the bottom of the ramp, what is its...

A solid sphere of a radius 0.2 m is released from rest from a
height of 2.0 m and rolls down the incline as shown. If the initial
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reaches the horizontal surface. (moment of inertia of a sphere is
(2/5) Mr^)

A solid 0.5750-kg ball rolls without slipping down a track
toward a loop-the-loop of radius R = 0.6550 m. What minimum
translational speed vmin must the ball have when it is a height H =
1.026 m above the bottom of the loop, in order to complete the loop
without falling off the track?

A solid 0.595-kg ball rolls without slipping down a track toward
a loop-the-loop of radius R = 0.7350 m. What minimum translational
speed vmin must the ball have when it is a height H = 1.091 m above
the bottom of the loop, in order to complete the loop without
falling off the track?

A solid, homogeneous sphere with of mass of M = 2.25 kg and a
radius of R = 11.3 cm is resting at the top of an incline as shown
in the figure. The height of the incline is h = 1.65 m, and the
angle of the incline is θ = 17.3°. The sphere is rolled over the
edge very slowly. Then it rolls down to the bottom of the incline
without slipping. What is the final speed of...

A sphere is released from the top of a rough inclined plane. The
friction is sufficient so that the sphere rolls without slipping.
Mass of the sphere is M and radius is R. The height of the center
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A sphere of radius r0 = 23.0 cm and mass m = 1.20kg starts from
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m long.
A. Calculate its translational speed when it reaches the
bottom.
B. Calculate its rotational speed when it reaches the
bottom.
C. What is the ratio of translational to rotational kinetic
energy at the bottom?

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