A 100 kg object is pulled up a ramp by a pulley (m0) at a 20 degree angle. The coefficient of static friction is 0.30. You slowly add mass to m0 so that it just barely starts to move up the ramp. a) Draw the free body diagrams for both the 100 kg block and m0. b) What is the mass m0? c) What is the magnitude of the tension force?

A man pulls a 50.0-kg block of ice with a rope over his shoulder as shown below. Suppose that he applies just enough force to get the block moving and then he continues to apply the same force. If it takes 2.00 seconds for the block to move 3.00 meters and if the coefficient of kinetic friction between the block and the surface is ?? =0.100, determine the coefficient of static friction ?? between the block and the surface. You may assume that the acceleration of the block is constant.

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18. A child sits on a sled at the top of a hill, the hill makes an angle of 20° with the horizontal. The child's mass is 40kg. Use us = .1 and 4.03 a. b. Draw a free body diagram for this system. Does the child accelerate down the hill? *i.e., check that the coefficient of static friction is vercome by the component of the childs weight in the direction the child would accelerate. If they do, what is their acceleration? *use coefficient of kinetic friction in sum of the forces balance if the child moves.

1) The block on a 60° inclined plane weighs 100 pound and is held by the minimum possible force T as shown in the figure. The coefficient of both static and kinetic friction between the block and the inclined plane is 0.2, and the pulleys are frictionless. T а. Draw the free body diagram (FBD) of the block showing all forces and their directions acting on it. b. Compute all unknown forces including T shown in your FBD. Now if you want to move the block upward on the inclined plane С. by applying minimum possible force T then draw the FBD of the block showing all forces with directions acting on it. d. Now assume the pulleys are stuck (do not rotate any more) and the 60° rope slides over the stuck pulleys as the block moves up. the coefficient of both static and kinetic friction between the pulley surface and the rope is 0.1. Draw the FBD of the block showing all forces with directions acting on the block when the block is pulled upward by the minimum rope force T. е. For the stuck…

1. A 90.0 kg crate is being pushed across a level floor at a constant speed by a 260 N force at an angle of 28.0° below the horizontal. The surface is not frictionless. a) Draw a free body diagram that includes all of the forces exerted on the crate, including a labeled system coordinate. FN FC0528 mg b) What are the algebraic expressions for the normal force (FN) and the coefficient of kinetic friction between the crate and the floor? EF Calculate the magnitude of the normal force and the coefficient of kinetic friction between the crate and the floor. 28