College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- GOAL Apply the concept of static friction to an object resting on an incline. PROBLEM Suppose a block with a mass of 2.50 kg is resting on a ramp. If the coefficient of static friction between the block and ramp is ng sin e 0.350, what maximum angle can the ramp make with the horizontal mg cos e e before the block starts to slip down? STRATEGY This is an application of Newton's second law involving an object in equilibrium. Choose tilted coordinates, as in the figure. Use the fact that the block is just about to slip when the force of static friction takes its maximum value, f. = 4n. SOLUTION Write Newton's laws for a static system (1) EF = mg sin e - u̟n = 0 in component form. The gravity force (2) EF = n - mg cos e = 0 has two components. Rearrange Equation (2) to get an n = mg cos 8 expression for the normal force n. Substitute the expression for n into EF, = mg sin 8 - H mgcos 0 = 0 → tan 8 =u. Equation (1) and solve for tan 0. Apply the inverse tangent function to get the answer.…arrow_forwardIn the following diagram a block is placed on an inclined plane. The mass of the block is 10.0 kg ar the incline angle is 18. Determine the minimum coefficient of static friction that will hold the block in place. 0.75 0.74 0.35 0.32 0.71arrow_forwardIn the figure, block A (mass 11.6 kg) is in equilibrium, but it would slip if block B (mass 7.10 kg) were any heavier. For angle 0 = 24.3°, what is the coefficient of static friction between block A and the surface below it? A Number Unitsarrow_forward
- Given the diagram shown with a ramp angle of 20° and Masses m1 and m2. If m1 = 4 times m2. What is the minimum coefficient of static friction required between m1 and the ramp for equilibrium?arrow_forwardPROBLEM SET 06: Interacting Objects, Tension, Pulleys OPEN a T₁= B Find the magnitude of the tension in each of the three cables supporting the traffic light if it weights w=335 N and a = 20°, 8=83. You may click the image to enlarge. Help on how to format answers: units. T₁= T- Turned in automatically when due Instructions Aarrow_forwardInstructions Click 'start' in the following Active Figure depicting static and kinetic frictional forces with a given applied force to a trash can to complete the exercise. EXPLORE A trash can with a mass of 11 kg has a coefficient of static friction of Ms = 0.88 and a coefficient of kinetic friction of μk = 0.40. (The Active Figure applies to a similar situation, but the values of the mass, coefficient of static friction and coefficient of kinetic friction may be different. So the values it gives may not be the same values you obtain from your calculations.) (A) What is the maximum horizontal force F that can be exerted without moving the trash can? (B) Suppose this force is just barely exceeded. Determine the acceleration of the trash can as it moves. CONCEPTUALIZE The trash can is being pushed near its base but the applied force is balanced by the force of static friction. The maximum force of static friction is determined by the coefficient of static friction and the normal force…arrow_forward
- Include a free body diagram please.arrow_forwardA 2.0 kg mass is suspended by two strings as shown below. Solve for the tension of eachstring (T1 and T2). Consider the angles in the figure to be exact for the purpose of significant figures.arrow_forwardIn the figure, two blocks are connected over a pulley. The mass of block A is 5.80 kg and the coefficient of kinetic friction between A and the incline is 0.360. Angle e of the incline is 31.0°. Block A slides down the incline at constant speed. What is the mass of block B? Frictionless, massless pulley B. Number i Unitsarrow_forward
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