1) A solid sphere with a radius of 1.3 meters and mass of 3.4 kg is pressed into a step with a height of 0.8 meters, by a force which is applied horizontally 0.5 meters above the center of the sphere (see sketch). When this force is applied, the sphere just starts to live off the ground and pivot around the corner of the step. How much is this force in Newtons?
1) A solid sphere with a radius of 1.3 meters and mass of 3.4 kg is...
A solid disk with a c of 1/2, mass of 3 kg, and radius of 1.5 meters lies on a horizontally (so the normal force and weight can be ignored). A force of 7 Newtons is applied 0.34 meters directly to the right of center in the +x direction, a force of 23 Newtons is applied 0.77 meters directly below of center in the +x direction, and a force of 7 Newtons is applied at the edge of the disk...
A solid disk with a c value of 1/2, mass of 3 kg, and radius of 1.5 meters lies on a horizontally (so the normal force and weight can be ignored). A force of 9 Newtons is applied 0.22 meters directly to the right of the center in the +x direction, a force of 24 Newtons is applied at 0.81 meters directly below of the center in the +x direction and a force of 8 Newtons is applied at the...
A solid sphere of mass 1.40 kg and radius 1.5 meters is rotating about its center at a rate of 10 rad/s. What is the magnitude of the torque that must be applied to bring it to rest in 10 seconds? Report your answer to the nearest 1 N*m.
A 3.4-kg sphere is suspended by a cord that passes over a 1.2-kg pulley of radius 3.4 cm. The cord is attached to a spring whose force constant is k = 86 N/m as in the figure below. Assume the pulley is a solid disk. An apparatus is shown with a wall extending upward from the left end of a table and a pulley mounted above the right edge of the table. A horizontal spring labeled k has its left...
Consider a solid sphere of mass m and radius r being released
from a height h (i.e., its center of mass is initially a height h
above the ground). It rolls without slipping and passes through a
vertical loop of radius R.
a. Use energy conservation to determine the tangential and
angular velocities of the sphere when it reaches the top of the
loop.
b. Draw a force diagram for the sphere at the top of the loop
and write...
A disk with radius 0.6 meters and mass 31 kg is spinning about its own center with an angular velocity of 88ed A solid sphere (/ mR2) with a radius of 0.18 meters which is spinning with an angular velocity of -18 ed (the negative sign indicates the opposite 6. rad sec direction), is gently lowered onto the disk a sticks to the disk. The two rotate together (about their mutual center of mass) at an angular velocity of 33...
A rope of negligible mass is wrapped around a 225-kg solid cylinder of radius 0.400 m. The cylinder is suspended several meters off the ground with its axis oriented horizontally, and turns on that axis without friction. (a) If a 75.0-kg man takes hold of the free end of the rope and falls under the force of gravity, what is his acceleration? m/s2 (b) What is the angular acceleration of the cylinder? rad/s2
A solid sphere of uniform density has a mass of 3.2 x 104 kg and a radius of 1.3 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 7.1 kg located at a distance of (a) 5.4 m and (b) 0.38 m from the center of the sphere? (c) Write a general expression for the magnitude of the gravitational force on the particle at a distance r s 1.3 m from...
A wheel with a mass of 0.8·kg and a radius of 0.35·m is pulled
by a horizontal force applied at its center. The curb is 0.14·m
high.
a) What is the minimum force needed to just raise the wheel off
the ground?
b) Suppose the horizontal force you found in the previous part
is increased by 4.2·N. If you model the wheel as a simple hoop,
what is its initial angular acceleration as it starts to
rise off the ground?
thank you
Problem 5 A solid sphere of mass M-2.00 ks (uniformly distributed) and radius R -0.100 m starts from rest at the top of an inclined plane of length L - 1.50 m and height H-0.500 m. The coefficient of static friction between the sphere and the inclined plane is H, -0.400. The sphere rolls without slipping down the inclined plane. The moment of inertia of the sphere about an axis through its center of mass is given by...