A wheel of radius a, mass m, and moment of inertia I is pulled along a horizontal surface by application of a horizontal force F to a rope unwinding from an axle of radius b as shown in the figure. There is a friction force between the wheel and the surface such that the wheel rolls without slipping. a. What is the linear acceleration of the wheel? b. Calculate the frictional force that acts on the wheel (Use Newtonian formalism). b a

A thin hoop of radius 2.00 cm and mass 0.0300 kg rolls down a frictionless ramp of length 4.00 m that makes an angle of 10.0° with the horizontal. The hoop starts from rest from the top of the ramp.a. Find the angular speed of the hoop at the bottom of the ramp.b. After the hoop rolls off the ramp, it is traveling along a horizontal surface with friction that causes a frictional torque of magnitude 0.400 N·m on the hoop. How much time will it take for the hoop to come to rest?

A bicycle is rolling down a circular hill that has a radius of 7.49 m. As the figure illustrates, the angular displacement of the bicycle is 0.960 rad. The radius of each wheel is 0.449 m. What is the angle (in radians) through which each tire rotates? Number i Units rad

Please help me with these questions A motor speeds up the flywheel with a constant torque of 75 N m. a. Find the moment of inertia about the axis of rotation of the disk. b. Calculate the angular acceleration. c. Determine how long it takes the flywheel to reach top speed. d. Calculate the amount of energy stored in the flywheel. The flywheel is disconnected from the motor and connected to a machine to which it will deliver energy. Half of the energy stored in the flywheel is delivered in 4.0 seconds. e.Calculate the average power delivered to the machine by the flywheel.

Two objects, a sphere and a block of the same mass, are released from rest at the top of an inclined plane. The sphere rolls down the inclined plane without slipping. The block slides down the plane without friction. Which object reaches the bottom of the ramp first? A. The sphere, because it gains rotational kinetic energy, but the block does notB. The sphere, because it gains mechanical energy due to the torque exerted on it, but the block does notC. The block, because it does not lose mechanical energy due to friction, but the sphere doesD. The block, because it does not gain rotational kinetic energy, but the sphere does

A pulley is bolted to a wall as shown. The pulley is a flat disk of mass mp, radius R and moment of inertia I = mpR2. A mass MH hangs from it by a rope that is wound about the pulley and does not slip. a. Give an appropriate force diagram for each of the two masses. b. Write ALL equations necessary to solve for the linear acceleration of MH. B мн

A pulley of mass 0.208 kilograms and radius 4.31 centimeters experiences an unbalanced torque of 0.00244 newton·meters. a. What is the pulley's angular acceleration? Include units in your answer. More information. b. If it started from rest, how much would the pulley have rotated after 2.35 seconds? Include units in your answer. More information.

A point object with a mass of 150 g can move around a circular track that has a radius of 25 cm. What is the moment of inertia of the object around the center of the track? a. 0.00017 kilogram. meter squared b. 0.00094 kilogram. meter squared c. 0.00038 kilogram. meter squared d. 0.00057 kilogram. meter squared

Baby Huey rolls a hollow sphere of mass M and radius R up a hillside, giving it an initial kinetic energy of Ki. It rolls over the top of the hill of height h and keeps going. The ball rolls without slipping the whole way, but it loses Wnc due to non-conservative forces between the foot of the hill and the top. a. If M = 6.82 kg and R = 10.9 cm, find its rotational inertia. b. Find the translational velocity at the top of the hill.

A mass of 0.8 kg is located at the end of a very light and rigid rod 50 cm in length. The rod is rotating about an axis at its opposite end with a rotational velocity of 3 rad/s.a. What is the rotational inertia of the system?b. What is the angular momentum of the system? USe the correct formula to solve and get the right answr.