Homework 6 Due by 1:00 pm on Thursday, February 20, 2003

Non-Texbook Problems A. A block of wood on a ramp has a coefficient of static friction equal to 0.91. What angle would the ramp need to be tilted to so that the block will just start to slide down? B. A cart rolls down a ramp and there is no friction. Determine the acceleration of the cart assuming that the angle that the ramp makes with the horizontal is: (i) 10 degrees, (ii) 30 degrees, (iii) 45 degrees. Textbook Problems, Chapter 4 Problems (p. 122): 20, 22, 34, 37, 39

Brief Answers

Non-Textbook Problems A. 42 degrees B. (i) 1.7 m/s2 (ii) 4.9 m/s2 (i) 6.9 m/s2  (acceleration directed down the ramp) Textbook Problems 20. 4.2 m/s2 22. (a) 5.67x10-5 N (b) 3.49x10-5 N (a) -9.16x10-5 N 34. (a) 980 N (b) 640 N 37. Yes, the block moves; 3.72 m/s2 in the direction of the applied force 39. (a) 447 N (b) 241 N