WITH SOLUTIONS

8. A bicyclist is riding on the banked curve of a circular velodrome. The radius of curvature for the bicyclist's present position is R = 355 m. The coefficient of static friction between the wheels and the path is us= 0.35 . For which range of velocities will the bicyclist remain at the same height on the banked curve? e-257 9. A 10kg wooden block rests on a 5kg, L-shaped piece of metal as shown below. The metal, in turn, rests on a frictionless surface. The coefficients of friction between the wood and the metal are us = 0.40 and uk = 0.30. (a) What is the maximum force that can be applied if the 10kg block is NOT to slide relative to the metal? (b) What is the corresponding acceleration of the piece of metal? F ) Pulley Block Frictionless Surface 10. The diagram below shows to blocks of mass M1 = 10.0 kg and M2 = 25.0 kg. The upper block is connected to a wall by a string. The bottom block is pulled by a force F. The coefficients of friction between the two blocks are usb = 0.24 and ukb = 0.15. The coefficients of friction between the bottom blocks and the table are ust = 0.30 and ukt = 0.10. a. (a) Find the maximum value of F, such that the blocks do not slip. Find the tension in the string. b. (b) If F is 100 N, find the initial acceleration of the lower block. Also find the tension in the string M