Question

A solid cylinder starts rolling without slipping from
the top of an inclined plane. The cylinder starts moving from rest
at a vertical height 10m. The mass of the cylinder is 1kg and its
radius is .5m. The moment of inertia of the cylinder is 1/2
mr^{2} (where m is the mass of the cylinder and r is its
radius).

What is the speed of the center of mass of the
cylinder when its vertical height is 4 mm ?

What is the angular verlocity of the cylinder when its
vertical height is 4 mm ?

What is the rotational kinetic energy of the cylinder
when its vertical height is 4 mm ?

What is the translational kinetic energy of the
cylinder when its vertical height is 4 mm ?

A solid cylinder starts rolling without slipping from the top of
an inclined plane. The cylinder starts moving from rest at a
vertical height 10m. The mass of the cylinder is 1kg and its radius
is .5m. The moment of inertia of the cylinder is 1/2 mr2
(where m is the mass of the cylinder and r is its radius).
C.What is the rotational kinetic energy of the cylinder when its
vertical height is 3 m?
D.What is the translational...

A solid cylinder starts rolling without slipping from the top of
an inclined plane. The cylinder starts moving from rest at a
vertical height 10m. The mass of the cylinder is 1kg and its radius
is .5m. The moment of inertia of the cylinder is 1/2 mr2
(where m is the mass of the cylinder and r is its radius).
1.What is the speed of the center of mass of the cylinder when
its vertical height is 5 mm ?...

A hollow cylinder (hoop) of mass M and radius R starts rolling
without slipping (with negligible initial speed) from the top of an
inclined plane with angle theta. The cylinder is initially at a
height h from the bottom of the inclined plane. The coefficient of
friction is u. The moment of inertia of the hoop for the rolling
motion described is I= mR^2.
a) What is the magnitude of the net force and net torque acting
on the hoop?...

A solid cylinder of mass 1.3 kg and radius 2.0 cm starts from
rest at some height above the ground and rolls down an ncline
without slipping. At the bottom of the incline, its linear speed is
2.5 m/s. (a) How much is its angular speed? (b) How much is its
rotational kinetic energy? The moment of inertia of a solid
cyllinder is 21mR2 (c) How much is its total energy at the bottom?
(d) From what height did it...

A solid sphere with a moment of inertia of 3.00 kgm2 is rolling
along the ground (without slipping) with an angular velocity of
14.1 rad/s . Find (a) its rotational kinetic energy and (b) its
translational kinetic energy.

A ball rolls down a ramp without slipping. It starts from
rest.
(a) Specify the mass and radius of the ball, and the height and
length of the ramp.
(b) Calculate the moment of inertia of the ball
. (c) Calculate the potential energy of the ball at the top of
the ramp.
(d) Calculate the linear kinetic energy and rotational kinetic
energy of the ball.
(e) Determine the angular acceleration of the ball.
(f) Determine how long the ball...

3) A solid cylinder with mass 4kg and radius r=0.5 m rolls
without slipping from a height of 10 meters on an inclined plane
with length 20 meters. a) Find the friction force so that it rolls
without slipping b) Calculate the minimum coefficient of rolling
friction mu c) Calculate its speed as it arrives at the bottom of
the inclined plane

A solid sphere of uniform density starts from rest and rolls
without slipping a distance of d = 4.4 m down a
θ = 22°incline. The sphere has a
mass M = 4.3 kg and a radius R
= 0.28 m.
1)Of the total kinetic energy of the sphere, what fraction is
translational?
KE
tran/KEtotal =
2)What is the translational kinetic energy of the sphere when it
reaches the bottom of the incline?
KE tran =
3)What is the translational speed...

.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 cylinder of mass 8.0 kg rolls without slipping on a horizontal
surface. At a certain instant its center of mass has a speed of
15.0 m/s.
(a) Determine the translational kinetic energy of its center of
mass.
J
(b) Determine the rotational kinetic energy about its center of
mass.
J
(c) Determine its total energy.

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