A rope with mass mr is attached to a block with mass mb as in Figure P5.42. The block rests on a frictionless, horizontal surface. The rope does not stretch. The free end of the rope is pulled to the right with a horizontal force
Figure P5.42
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Chapter 5 Solutions
PHYSICS FOR SCI.AND ENGR W/WEBASSIGN
- A 71 kg skier speeds down a trail, as shown in the figure. The surface is smooth and inclined at an angle of θ = 26° with the horizontal.(a) Draw a free-body diagram for the skier. (b) Determine the magnitude of the normal force acting on the skier.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_forwardConsider the figure shown in the following figure. You are lowering two boxes, one on top of the other, down a ramp by pulling on a rope parallel to the surface of the ramp. Both blocks move with constant velocity of 10.0 [m/s]. The coefficient of kinetic friction between the ramp and the lower box is 0.555 and the coefficient of static friction between the two boxes is 0.750.1. Write Newton's 2nd law of motion along the x and y directions for both blocks considering their state of motion.2. What are the magnitude and direction of the firctional force on the upper box?3. Draw the free-body diagram of both blocks. Set the x-axis parallel to the ramp.arrow_forward
- In the system shown in the figure below, a horizontal force Facts on an object of mass m₂ = 6.60 kg. The horizontal surface is frictionless. Consider the acceleration of the sliding object as a function of Fx. m1 m₂ (a) For what values of FX (in N) does the object of mass m₁ = 3.60 kg accelerate upward? (Indicate the direction of the force with the sign of your answer. Let the positive x-direction be to the right.) Fx > 35.28 N (b) For what values of FX (in N) is the tension in the cord zero? (Indicate the direction of the force with the sign of your answer. Let the positive x-direction be to the right.) Fy≤-35.28 X Your response differs from the correct answer by more than 10%. Double check your calculations. Narrow_forwardA contestant in a winter games event pulls a 60.0 kg block of ice across a frozen lake with a rope over his shoulder as shown in the figure. 25° The coefficient of static friction is 0.1 and the coefficient of kinetic friction is 0.03. (a) Calculate the minimum force F (in N) he must exert to get the block moving. N (b) What is its acceleration (in m/s²) once it starts to move, if that force is maintained? m/s²arrow_forwardConsider a bow and arrow. Suppose the bow is held vertically, and the string is drawn back from its midpoint so the arrow is horizontal. Each half of the string makes an angle θ with the vertical, as shown in the diagram. A horizontal force with magnitude F is applied to the tail of the arrow, and the system is motionless. Write an expression for the tension, T, in the string.arrow_forward
- A body of weight w is attached by a string of length L, to a hook on a vertical wall. A horizontal force F acting on the body holds it at a distance d from the wall. Derive the equation, which gives the force F in terms of w, L, and d.arrow_forwardIn the system shown in the figure below, a horizontal force Facts on an object of mass m₂ = 7.00 kg. The horizontal surface is frictionless. Consider the acceleration of the sliding object as a function of Fx. m1 (a) For what values of Fx (in N) does the object of mass m₁ = 4.60 kg accelerate upward? (Indicate the direction of the force with the sign of your answer. Let the positive x-direction be to the right.) Fx > N (b) For what values of Fx (in N) is the tension in the cord zero? (Indicate the direction of the force with the sign of your answer. Let the positive x-direction be to the right.) Fx ≤ N (c) Plot the acceleration of the m₂ object versus Fx. Include values of Fx from 100 N to +100 N. a (m/s²) a (m/s²) - 100 a (m/s²) 5 Fx (N) 50 JJ J 100 - 100 -50 50 -10 -15 - 20 -50 m₂ 5 -10 -15 - 20 -50 -10 -15 - 20 50 100 Fx (N) - 100 -50 a (m/s²) 5 -5 -10 -15 -20 50 100 Fx (N) - 100 100 Fx (N)arrow_forwardA force is applied to an initially stationary block of mass 5.70 kg that sits on a horizontal floor as shown. The 98.9N force is applied at 0 = 38° angle. The coefficients of friction between the floor and the block are Hs = 0.525 and uy = 0.325. What is the acceleration of the block? Use g=9.8 m/s2.arrow_forward
- In the system shown in the figure below, a horizontal force F acts on an object of mass m₂ = 8.45 kg. The horizontal surface is frictionless. Consider the acceleration of the sliding object as a function of Fx. m m₂ (a) For what values of Fx does the object of mass m₁ = 3.75 kg accelerate upward? (b) For what values of Fx is the tension in the cord zero? (c) Plot the acceleration of the m₂ object versus Fx. Include values of Fx from -100 N to +100 N.arrow_forwardF Two blocks connected by a rope of negligible mass are being dragged by a horizontal force F. Suppose that F=68.0 N, m1 = 12.0kg, m2 = 18.0kg, and the coefficient of kinetic friction between each block and the surface is 0.1. (a) Draw a free-body diagram for each block. (b) Find the acceleration of the system. (c) Determine the tension T of the rope between the blocks.arrow_forwardA horizontal applied force F = 35 N is used topush two blocks along a frictionless frozen lake. Block 1 hasmass m1 = 1.2 kg and block 2 has mass m2 = 2.4 kg. Thereis a static friction force with coefficient µs between the twoblocks that prevents block 1 from slipping downwards. Draw three free-body diagrams: block 1, block 2, and the two-block system. Label the forces. What is the magnitude of the acceleration of the two blocks?What is the minimum value of µs needed to stop block 1 from slipping? If you didn’t answer theprevious part, let a = 16 m/s2.arrow_forward
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