Question

Problem 3 (25 pts) 01 The disk of mass m and radius R is rolling without slipping with angular speed W1 = 1 g/R on the horizontal surface when it encounters a step of height R/4. Assuming that the disk does not rebound when it hits the step and that it rotates about it, determine (a) the normal force between the disk and the corner immediately after the impact, R/4 (b) the percentage of energy lost during the impact, (c) if the disk will make it to the top of the step.

Answer 1

solo- F. B.D of the disc at the corner point : - a loo a = JRFE 2 = fano - Ben event o = 52.24° Now, using Lami's theorem :- ming _ N sin ego" - Sin (90-0) singoo = mg mg Cos 52.24 80ما NE N = 1.63 mg) aus

© Solu:- AU Who I using constant Angular momentum before & after Impact :- I w, = 1 W ( mg + me?)x ea X - (' + m2(E99-] xw, 12 mm x 3 5 2 x wz W₂ = 24 25 role % change in energy eff5wocztow)x 100% I w? ) 190 mm*2 Cols &- £ meile & MR² x (?) " x 9 / n eners X 23 lovely = -27. 27%