A 6.00-kg box skids along an inclined plane of 30° as shown in Figure 1. The coefficien of kinetic friction between the box and the incline plane, μ = 0.350. (i) Draw the free body diagram for the box and label all the forces. Apply the second Newton's law to find the acceleration of the box. 30° 2
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- 2. A two body system is set up on an inclined surface with M = 5 kg and m = 4 kg. The angle is 25 degrees. And the static frictional coefficient is 0.25, and kinetic frictional coefficient is 0.20. i. Find the parallel and perpendicular components of the Mg. ii. Find the static frictional force and kinetic frictional force. iii. Determine which way the system will move, uphill or downhill. iv. Once it starts, find the tension T =? v. Once it starts, find the acceleration, a=?8. Two 14-kg blocks are connected with a light rope pand the system is accelerating at 1.8 m/s°[Right]. The coefficient of kinetic friction between the blocks and the floor is 0.35. A F. a) Calculate the magnitude of the applied force, F,. b) Calculate the tension in the rope between block B and A.A physics textbook is placed on an inclined slope with an adjustable angle a. The coefficients of friction between the book and the slope are us = 0.5 and uk = 0.35 %3D respectively. 1m a (i) Initially the book is not moving. Copy the diagram and draw all the forces acting on the book. Show mathematical expressions for the size (magnitude) of each force. If we slowly increase the angle a, at what angle does the book start sliding? (ii) Use the Work-Energy theorem to find a formula (expression) for the speed v of the book when it reaches the bottom, in terms of the angle a.
- 2. You are moving the box (m=1Okg) across a rough floor by pushing on it at an angle of 20° below the horizontal with force of magnitude F=100N. What is the coefficient of kinetic friction between the box and the floor if it is moving at constant velocity? Present free-body diagram. 10°WelpSection II: Problems Page 3 Problem 1: Newton's Laws A1300 kg car is held in place by a light cable on a very smooth (frictionless ramp). The cable makes an angle of ß = 31° above the surface of the ramp, and the ramp itself rises & 25° above the horizontal, as shown in the figure below. (a) Draw a free body diagram of the car. Be sure to label all forces clearly and to place the angles 6 and p in your diagram. 31.0° www. 25.0° b) Find the tension in the cable FT c) How hard does the surface of the ramp push on the car? Framp Cable
- 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.Determine the acceleration a.The masses are: ?1 = 1 ??, ?2 = 2 ??, ?3 = 4 ??The coefficient of kinetic friction between mass 1 and the incline is ?1 = 0.4The coefficient of kinetic friction between mass 2 and the flat section is ?2 = 0.3