37. A particle of mass 5.0 kg has position vector ŕ = (2.0î – 3.0ĵ)m at a particular instant of time when its velocity is = (3.0) m/s with respect to the origin. (a) What is the angular momentum of the particle? (b) If a force = 5.0Ĵ N acts on the particle at this instant, what is the torque about the origin? 32. A solid cylindrical wheel of mass M and radius R is pulled by a force F applied to the center of the wheel at 37° to the horizontal (see the following figure). If the wheel is to roll without slipping, what is the maximum value of ? The coefficients of static and kinetic friction are μs = 0.40 and µ = 0.30. УА 145 N 37° F Mg R

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? (b) What is the angular acceleration of the cylinder? (c) if the mass of the rope were not neglected, what would happen to the angular acceleration of the cylinder as the man falls?

(a) When opening a door, you push on it perpendicularly with a force of 55.0 N at a distance of 0.850m from the hinges. What torque are you exerting relative to the hinges? (b) Does it matter if you push at the same height as the hinges?

A solid cylinder of radius 10.0 cm rolls down an incline with slipping. The angle of the incline is 30 . The coefficient of kinetic friction on the surface is 0.400. What is the angular acceleration of the solid cylinder? What is the linear acceleration?

Suppose you exert a force of 180 N tangential to a 0.280-m-radius, 75.0-kg grindstone (a solid disk). (a) What torque is exerted? (b) What is the angular acceleration assuming negligible opposing friction? (c) What is the angular acceleration if there is an opposing frictional force of 20.0 N exerted 1.50 cm from the axis?

A 12.0-kg solid sphere of radius 1.50 m is being rotated by applying a constant tangential force of 10.0 N at a perpendicular distance of 1.50 m from the rotation axis through the center of the sphere. If the sphere is initially at rest, how many revolutions must the sphere go through while this force is applied before it reaches an angular speed of 30.0 rad/s?

The wheel of a car has a radius of 0.300 m. The engine ofthe car applies a torque of 240 N*m to this wheel, which does not slip against the road surface. Since the wheel does not slip, the road must be applying a force of static friction to the wheel that produces a counter torque. Moreever, the car has a constatnt velocity, so this counter torque balances the applied tourque. What is the magnitude of the static frictional force?

Plz use g = 9.8 m/s2 to find if needed

The spool has a weight of 30 lb and a radius of gyration ko 0.45 ft. A cord is wrapped around its inner hub and the end subjected to a horizontal force P = 5 lb. Determine the spool's angular velocity in 4 s starting from rest. Assume the spool rolls without slipping. 0.9 ft 0.3 ft 0 P = 5 lb

The arm of a crane at a construction site is17.0 m long, and it makes an angle of 16.8◦with the horizontal. Assume that the maximum load the crane can handle is limitedby the amount of torque the load producesaround the base of the arm.What maximum torque can the crane withstand if the maximum load the crane canhandle is 785 N?Answer in units of N · m.