- The wheel of a car with a mass of 3000 kg has a diameter of 1.6 m and the coefficient of friction with the road surface is given as μ = 1.80. Assume that the weight of the car is evenly distributed on all four wheels. Calculate the maximum torque that the engine can create on one of the tractor wheels without spinning the wheel. Assume that the car is stationary.

35- A solid sphere of mass m and radius r can rotate without slipping along the path shown in the figure. At the height h where the sphere will start its motion from rest, the lowest part of the sphere is higher than the lowest part of the circular part of the road with radius R (R = 5r). What should be the minimum height (h) of the point where the sphere will start to move in order for the sphere to fully circle this circular path?

5) The Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. The pulley can be approximated by a uniform disk with mass m, = 5.33 kg and radius Rp = 0.350 m. The hanging masses are m = 20.7 kg and mr = 15.1 kg. Calculate the magnitude of the masses' acceleration a, and the tension in the left and right ends of the rope.

During the last rotation, a hammer thrower maintains a constant acceleration of his hammer, from 28 m/s at the beginning of the rotation to 32 m/s at the time of release. a) If the radius of the hammer's rotations is 1.3 m, what is the total linear acceleration when the hammer has covered 3/4 of the last rotation? Steps: 1) Find the tangential acceleration of the hammer: m/s2 2) Find the tangential velocity after 3/4 of the final rotation: m/s. (Note, this is NOT just 3/4 of the way from 28 to 32 , because you travel further in a given time at higher speed.) 3) Find the radial acceleration of the hammer after 3/4 of the final rotation: m/s2. 4) Find the total acceleration after 3/4 of the final rotation: m/s2. b) How far will the throw go, if the initial launch angle is 41 degrees above the horizontal, 1.9 m above the ground.   Steps: 1) Find the time-of-flight: s 2) Find the horizontal velocity: m/s 3) Find the horizontal distance: m.