Question

A hollow sphere of radius 16cm and mass 10kg stars from rest and rolls without slipping a distance d=6.5m down a roof that is inclined at an angle of 36°.

a. What is the angular speed of the hollow sphere about its center as it leaves the roof?

b. The roof’s edge is at a height of 4.5m. How far horizontally from the roof’s edge does the hollow sphere hit the level ground?

Answer #1

Dear student,

Find this solution, and RATE IT ,If you find it is helpful .your rating is very important to me.If any incorrectness ,kindly let me know I will rectify them soon.

Thanks for asking ..

In the figure, a solid cylinder of radius 5.3 cm and mass 17 kg
starts from rest and rolls without slipping a distance L = 7.6 m
down a roof that is inclined at angle θ = 22°. (a) What is the
angular speed of the cylinder about its center as it leaves the
roof? (b) The roof's edge is at height H = 3.8 m. How far
horizontally from the roof's edge does the cylinder hit the level
ground?

3) A Solid Ball, of mass M and radius
R rolls from rest down a table-top ramp of height
H and then rolls (horizontally) across a table until it
gets to the edge and rolls off the edge and drops a distance
h to the floor.
(a) At what horizontal distance D (from the table edge)
does the ball hit the floor?
(b) Rank the following objects from least D to greatest
D :
Solid Ball, Hollow Sphere, Solid Cylinder,...

A hollow sphere (mass M, radius R) starts from rest at the top
of a hill of height H. It rolls down the hill without slipping.
Find an expression for the speed of the ball's center of mass once
it reaches the bottom of the hill.

A solid cylinder of radius 14 cm and mass 12 kg starts from rest
and rolls without slipping a distance of 6 m down a house roof that
is inclined 35 degrees. Refer to the figure below. What is the
angular speed of the cylinder just before it leaves the house
roof?

A solid, uniform sphere of mass 2.0 kg and radius 1.7m rolls
without slipping down an inclined plane of height 7.0m . What is
the angular velocity of the sphere at the bottom of the inclined
plane? a) 5.8 rad/s b) 11.0 rad/s c) 7.0 rad/s d) 9.9 rad/s

In the figure below, a solid cylinder of radius 14 cm and mass
17 kg starts from rest and rolls without slipping a distance
L = 6.0 m down a roof that is inclined at angle θ
= 30°.
(a) What is the angular speed of the cylinder about its center
as it leaves the roof?

A 320-N sphere 0.20 m in radius rolls without slipping 6.0 m
down a ramp that is inclined at 34° with the horizontal. What is
the angular speed of the sphere at the bottom of the slope if it
starts from rest?

1. A solid sphere of mass 50 kg rolls without slipping. If the
center-of-mass of the sphere has a translational speed of 4.0 m/s,
the total kinetic energy of the sphere is
2.
A solid sphere (I = 0.4MR2) of
radius 0.0600 m and mass 0.500 kg rolls without slipping down an
inclined plane of height 1.60 m . At the bottom of the plane, the
linear velocity of the center of mass of the sphere is
approximately
_______ m/s.

A 350-N sphere 0.20 m in radius rolls without slipping 6.0 m
down a ramp that is inclined at 25° with the horizontal. What is
the angular speed of the sphere at the bottom of the slope if it
starts from rest? rad/s

A 340-N sphere 0.20 m in radius rolls without slipping 6.0 m
down a ramp that is inclined at 34° with the horizontal. What is
the angular speed of the sphere at the bottom of the slope if it
starts from rest?
in rad/s

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 12 minutes ago

asked 19 minutes ago

asked 23 minutes ago

asked 25 minutes ago

asked 45 minutes ago

asked 47 minutes ago

asked 53 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago