Question

A uniform hollow spherical ball of mass 1.75 kg and radius
40.0 cm is rolling up a ramp that rises at

30.0° above the horizontal. Speed of the ball at the base of
the ramp is 8.20 m/s. Moment of inertia of

2 hollow sphere is given by I=(2/3)m r . (a) What is the
angular velocity of the ball at the base of the ramp?

(b) Determine how far up the ramp does it roll before it
starts to roll downward. Assume rolling takes place without
slipping

Answer #1

find torque due to friction and find equation from Newton second law

Solve both equation for acceleration .

Then , using equation of motion find distance as initial speed is given and final speed is zero.

A uniform hollow spherical ball of mass 1.75 kg and radius 40.0
cm is rolling up a ramp that rises at 30.0° above the horizontal.
Speed of the ball at the base of the ramp is 8.20 m/s. Moment of
inertia of hollow sphere is given by I=(2/3)m r2. (a) What is the
angular velocity of the ball at the base of the ramp? (b) Determine
how far up the ramp does it roll before it starts to roll downward....

A hollow sphere (mass 8.8 kg, radius 54.8 cm) is rolling without
slipping along a horizontal surface, so its center of mass is
moving at speed vo. It now comes to an incline that makes an angle
56o with the horizontal, and it rolls without slipping up the
incline until it comes to a complete stop. Find a, the magnitude of
the linear acceleration of the ball as it travels up the incline,
in m/s2.

URGENT!!
a) A ball of radius ? and mass ? is rolling without slipping on
the surface of a ring of radius ?. At a given instant, the ring is
rotating with angular speed Ω counterclockwise as shown in the
figure and the ball is rolling without slipping. What is the speed
of the center of mass of the ball at that instant if it has
clockwise angular speed of ω?
b)A yo-yo of mass ? has a spool of...

9.46
A solid uniform sphere and a uniform spherical shell, both
having the same mass and radius, roll without slipping down a hill
that rises at an angle θθ above the horizontal. Both spheres start
from rest at the same vertical height hh.
Part A:
How fast is each sphere moving when it reaches the bottom of the
hill?
v,solid = ?
Part B:
v,hollow = ?

.A
uniform sphere of mass m radius r starts rolling down without
slipping from the top of another larger sphere of radius R. Find
the angular velocity of the sphere after it leaves the surface of
the larger sphere.

A spherical bowling ball with mass m = 4.2 kg and radius R = 0.1
m is thrown down the lane with an initial speed of v = 8.1 m/s. The
coefficient of kinetic friction between the sliding ball and the
ground is μ = 0.28. Once the ball begins to roll without slipping
it moves with a constant velocity down the lane.
3)
How long does it take the bowling ball to begin rolling without
slipping?
4)
How far...

A hollow ball of mass 6.00 kg and radius 0.180 m is rolled up a
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A spherical bowling ball with mass m = 3.6 kg and radius R =
0.118 m is thrown down the lane with an initial speed of v = 8.5
m/s. The coefficient of kinetic friction between the sliding ball
and the ground is μ = 0.26. Once the ball begins to roll without
slipping it moves with a constant velocity down the lane.
1.What is the magnitude of the angular acceleration of the
bowling ball as it slides down the...

A hollow ball of mass 2.88 kg and radius 0.309 m sits at rest on
top of a hill of height 6.88 m. The ball can either slide down the
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between these two scenarios?

A uniform solid ball has a mass of 20 g and a radius of 5 cm.
It rests on a horizontal surface. A sharp force is applied to the
ball in the horizontal direction 9 cm above the surface. The force
rises linearly from 0 to a peak value of 40,000 N in 10^-4 s and
then decreases linearly to 0 in another 10^-4 s. (The moment of
inertia for a solid ball is (2/5)mr^2 )
What is the velocity...

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