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Measuring coefficients of friction A coin is placed near one edge of a book lying on a table, and that edge of the book is lifted until the coin just slips down the incline as shown in Figure P4.82. The angle of the incline, θC, called the critical angle, is measured. (a) Draw a free-body diagram for the coin when it is on the verge of slipping and identify all forces acting on it. Your free-body diagram should include a force of static friction acting up the incline. (b) Is the magnitude of the
Figure P4.82
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COLLEGE PHYSICS,V.2
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- Consider the three connected objects shown in Figure P5.43. Assume first that the inclined plane is frictionless and that the system is in equilibrium. In terms of m, g, and , find (a) the mass M and (b) the tensions T1 and T2. Now assume that the value of M is double the value found in part (a). Find (c) the acceleration of each object and (d) the tensions T1 and T2. Next, assume that the coefficient of static friction between m and 2m and the inclined plane is s and that the system is in equilibrium. Find (e) the maximum value of M and (f) the minimum value of M. (g) Compare the values of T2 when M has its minimum and maximum values. Figure P5.43arrow_forwardThree objects are connected on a table as shown in Figure P5.14. The coefficient of kinetic friction between the block of mass m2 and the table is 0.350. The objects have masses of m1 = 4.00 kg, m2 = 1.00 kg, and m3 = 2.00 kg, and the pulleys are frictionless. (a) Draw a free-body diagram of each object. (b) Determine the acceleration of each object, including its direction. (c) Determine the tensions in the two cords. What If? (d) If the tabletop were smooth, would the tensions increase, decrease, or remain the same? Explain. Figure P5.14arrow_forwardTwo blocks, each of mass m, are hung from the ceiling of an elevator as in Figure P4.33. The elevator has an upward acceleration a. The strings have negligible mass. (a) Find the tensions T1 and T2 in the upper and lower strings in terms of m, a, and g. (b) Compare the two tensions and determine which string would break first if a is made sufficiently large. (c) What are the tensions if the cable supporting the elevator breaks? Figure P4.33 Problems 33 and 34.arrow_forward
- Consider the two-body situation at the right. A 25kg crate (m1) rests on an inclined plane and is connected by a cable to a 40kg mass (m2). This second mass (m2) is suspended over a pulley. The incline angle is 30.0° and the surface is frictionless. Draw free-body diagram for mass m, and m,. Determine the acceleration of the system and the tension in the cable. m2arrow_forwardA block of mass m is on an inclined ramp. The ramp makes anangle θ with respect to the horizontal, as shown. The ramp hasfriction, with coefficient of kinetic friction μk and static friction μs.This experiment takes place on earth.The block has an initial speed of v up the ramp. It travels adistance d along the ramp before it stops.Answer using variables, please.a) Draw a free body diagram clearly showing all the forces acting on the block while it is movingup the ramp.b) Calculate the work done by the Normal force as the block travels the distance d.Is it positive, negative, or zero?c) Calculate the work done by the Weight force as the block travels the distance d.Is it positive, negative, or zero?d) Calculate the work done by the Friction force as the block travels the distance d.Is it positive, negative, or zero?e) If the block comes to rest, how far has it travelled?Use the work-energy principle and your results of parts b), c), and d).f) Briefly (one sentence) explain why this…arrow_forwardThe "Giant Swing" at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end as shown in (Figure 1). Each arm supports a seat suspended from a 5.00-mm-long rod, the upper end of which is fastened to the arm at a point RRR = 1.80 mm from the central shaft. a)Make a free-body diagram of the seat, including the person in it. Draw the force vectors with their tails starting from the center of the dot. The location and orientation of your vectors will be graded. The exact length of your vectors will not be graded. b)Find the time of one revolution of the swing if the rod supporting the seat makes an angle of θθtheta = 32.0 ∘with the vertical.arrow_forward
- webassignarrow_forwardA factory worker pushes horizontally to the right on a 250 Ncrate with a force of P = 75.0 N on a horizontal rough floor. A 135 N crate rests on top of the one being pushed and moves along with it. Call the bottom crate A and the top crate B. Part A Make a free-body diagram of the crate B if the friction force is less than the worker's push. Draw the force vectors with their tails at the dot Part B Make a free-body diagram of the crate A if the total friction force is less than the worker's push. Draw the force vectors with their tails at the dotarrow_forwardAn object with a mass of m placed on an oblique surface at an angle. We applied a horizontal force f = mg on the particle as shown. Assume that the friction force between the object and the surface is so large that the object remains in place? Find the vertical force FN and the friction force ff ? In terms of the static friction coefficient, what is the range of the angle at which the object remains stagnant?arrow_forward
- A box is pushed to the right at an angle f30° above the horizontal with a force of 200 N. The mass of the box is m = 20.0 kg and is moving on a flat horizontal surface for which the coefficient of kinetic friction is 0.40, Draw the free body diagram of the box. Calculate the magnitude of the normal force Calculate the magnitude of the acceleration of the box.arrow_forwardDetermine the coefficient of kinetic friction between the snow and the skis.arrow_forwardA block accelerates at 4 m/s^2 down a rough ramp, inclined at 38 degrees. What is the coefficient of kinetic friction between the block and ramp? Include a sketch of the system (with a coordinate system) and a free body diagram.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
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