A 55-kg child sits on a 1.1-m radius playground merry-go-round without holding on to the rails.  a. Someone pushes tangentially, resulting in a torque of 356 N m. How fast is the merry-go round moving (in m/s)?  If the child begins to slip off the merry-go-round at this speed, what is the coefficient of  friction between the child and the surface?

A. A 1800 kg car's tires have a coefficient of friction equal to 0.25 on wet asphalt. What is the fastest that this car can drive along a flat turn with a radius of 200 m without slipping? B. How would this speed change if the car had a mass of 3600 kg instead? C. How would this speed change if the road were slanted? Would the possible speed be higher or lower?

The radius of a park merry-go-round is 2.5 m. To start it rotating, you wrap a rope around it and pull with a force of 260 N for 20 s. During this time, the merry-go-round makes one complete rotation. (a) Find the angular acceleration of the merry-go-round. rad/s2 (b) What is the magnitude of the torque exerted by the rope on the merry-go-round? N-m (c) What is the moment of inertia of the merry-go-round? kg-m2 eBook

C. The radius of revolution for the microcentrifuge is 8.58 cm and you need to spin at 700g. What RPM should you spin at?

A bucket of water with a mass of 2.36 kg is attached to a rope that is wound around a cylinder. The cylinder has a mass of 3.00 kg and is mounted horizontally on frictionless bearings. The bucket is released from rest. A) Find the speed of the bucket after it has fallen through a distance of 0.800 m. in m/s B) What is the tension in the rope? in N C) What is the acceleration of the bucket? Enter a positive value if the acceleration of the bucket is upward and enter a negative value if the acceleration of the bucket is downward. in m/s^2

12. A person of mass 82.0 kg is riding a ferris wheel of radius 13.5 m. The wheel is spinning at a constant angular speed of 1.80 rpm. Determine the force exerted on the rider by the seat at the top of the ferris wheel. N

g disk with a radius a 0.500 m is subjected to three tangential forces of constant as shown below. The moment of inertia is Idisk =mr?. F2 and F3 are applied on the of the disk while F, is applied at 0.300 m from the center. Assume the rotation is enter of the disk.

A 6 cm diameter, 550 g solid sphere is released from rest at the top of a 2.0 m long, 35° incline. It rolls, without slipping, to the bottom. a. What is the sphere’s angular velocity at the bottom of the incline?b. What fraction of its kinetic energy is rotational?

A 1.70-kg disk with a rotational inertia given by MR2/2 is free to rotate on a fixed horizontal axis suspended from the ceiling. A string is wrapped around the disk and a 0.900-kg mass hangs from the free end. If the string does not slip as the mass falls and the cylinder rotates, what is the tension in the string? Save for Later N Submit Answer

Q9 A Physics teacher is teaching a class about the effect of friction. They assemble a track that has a vertical loop of radius 30.0 cm. A toy car of mass 50.0 g is released from rest at a height of 1.00 m at the beginning of the track. The car rolls down the track and follows the loop before exiting the track. The teacher asks the class to calculate the speed of the toy car if the coefficient of friction were 0. Im 30 cm What is the calculated speed of the toy car as it reaches point X? (A) 1.49 ms (B) 2.21 ms! (C) 2.80 ms! (D) 7.84 ms