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 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.

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
hill without slipping. If it starts off at the bottom with a linear
speed of 7.00 m/s, what vertical height (in m) will it reach?

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 sphere is rolling without slipping across the floor at
a speed of 6.1 m/s when it starts up a plane inclined at 43° to the
horizontal.
(a) How far along the plane (in m) does the sphere travel before
coming to a rest?
(b) How much time elapses (in s) while the sphere moves up the
plane?

A uniform, solid sphere of radius 3.00 cm and mass 2.00 kg
starts with a purely translational speed of 1.25 m/s at the top of
an inclined plane. The surface of the incline is 1.00 m long, and
is tilted at an angle of 25.0 ∘ with respect to the horizontal.
Assuming the sphere rolls without slipping down the incline,
calculate the sphere's final translational speed v 2 at the bottom
of the ramp.

A hollow 10 kg ball with a radius of 0.6 m rolls down a hill
which is 50 m high and 100 m long. How fast is the ball going at
the bottom of the hill if it starts from rest? Moment of inertia
for a hollow ball: 1 = (2mr2)/3

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 25mR2
)
What is the velocity...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 2 minutes ago

asked 5 minutes ago

asked 8 minutes ago

asked 9 minutes ago

asked 9 minutes ago

asked 9 minutes ago

asked 10 minutes ago

asked 11 minutes ago

asked 12 minutes ago

asked 12 minutes ago

asked 12 minutes ago