Question

In the figure, a T-bar ski tow pulls a skier up a hill inclined at 10.º above horizontal. The skier starts from rest and is pulled by a cable that exerts a tension T at an angle of 30.º above the surface of the hill. The mass of the skier is 60. ke and the effective coefficient of kinetic friction between the skis and the snow is 0.10. 30 (a) Draw the free-body diagram for the skier. (4 pts) 400 (b) What is the maximum tension in the cable if the starting acceleration is not to exceed 0.40 g? (7 pts) 4. Suppose it takes the same amount of work to push a trunk in a straight line across a rough door to lift a weight the same distance straight upward. How do the amounts of work ad on curved paths between the same

Answer 1

First draw a free body diagram and solve for forces in equilibrium. The answer is

T = 379.4 N

Tsinato op Teosa Ta ng simo Ty To Amg coso esa 0=100, 2230°. N = mg cos O. frictional force. fp = (artista creet n) - N= mg coso - Tsima = je (-T simą + mg cos o 'ff Top Total force along the inclined plane de an mis F = Teosx-mg sino - METsimat ng cos 0) - Acceervation in a = fou » ma = T cosa-mg sind pe (Tsimat ng caso) Te m(a+g (1+M) simo) . Cosat M sind m= 60kg. g=9.8. a=0.49, u=0-1, 0 0= 100, x=300 I=60(0.4+(1+0.1) sim (100) ), 9.8 Cos (309) + 0.1 sm (300) - Maximum tension in the cable is T = 379.4N