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 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. Assume rolling takes place without slipping.

Answer #1

The concept used in this question is equation of motion and the expression of acceleration and velocity , after applying this concept i deduced the values.

kindly upvote my answer , if you like , by clicking on the like button

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...

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 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 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 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 uniform solid disk is rolling without slipping along a
horizontal surface with a linear speed of 3.60 m/s when it starts
going up a ramp that makes an angle of 31.0o with the horizontal.
What is the speed of the disk after it has rolled 1.75 m up the
ramp (the 1.75 m is the distance along the ramp)? Make sure you
show any appropriate diagrams and all of your work.
SHOW ALL WORK

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
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.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 22 minutes ago

asked 33 minutes ago

asked 35 minutes ago

asked 37 minutes ago

asked 39 minutes ago

asked 43 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago