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 Scientists and Engineers
- Two blocks connected by a rope of negligible mass are being dragged by a horizontal force (Fig. above). Suppose F = 68.0N, m₁ = 12.0kg, m₂ = 18.0kg, and the coefficient of kinetic friction between each block and the surface is 0.100. (a) Draw a free-body diagram for each block. Determine (b) the acceleration of the system and (c) the tension T in the rope. m₂ T M Farrow_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_forwardTwo blocks connected by a rope of negligible mass are being dragged by a force as shown. Assume F = 100.0 N, m1 = 10.0 kg, m2 = 15.0 kg, and the coefficient of kinetic friction between each block and the surface is 0.150. (a) Draw a free-body diagram for each block. Determine (b) the acceleration of the system and (c) the tension T in the rope. I think I did the free-body correct.arrow_forward
- Consider 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_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_forwardIn 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_forward
- In 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_forwardIn 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_forwardWrite a question appropriate for this exam that computes the parallel and normal forces exertedon an object of Z kilograms sliding down a 60-degree inclined plane with a coefficient of frictionof 0.8. Draw a sketch of the system in the question, labeling the key quantities. Then answer thequestion. You will be graded on both the question's appropriateness and the answer's correctness Z= 107.63arrow_forward
- A box is hanging from two strings. String #1 pulls up and left, making an angle of 50⁰ with the horizontal on the left, and string #2 pulls up and to the right with a force of 110 N, making an angle of 65° with the horizontal on the right. Find the mass of the box. Hint: Apply EFx = 0 and ΣFy = 0 Your Answer: Answerarrow_forwardX Incorrect. A fisherman is fishing from a bridge and is using,a "39.0-N test line." In other words, the line will sustain a maximum force of 39.0 N without breaking. What is the weight of the heaviest fish that can be pulled up vertically, when the line is reeled in (a) at constant speed and (b) with an acceleration whose magnitude is 2.29 m/s²? (a) Number i 3.98 Units kg (b) Number i 1.74 Units kgarrow_forwardConsider the figure below, where M 2 = 4.0 kg is stacked on top of M 1 = 12.0 kg, which is accelerating along ahorizontal, icy, frictionless surface at a = 5.0 m/s 2 . (a) What’s the minimum static coefficient of friction between the blocks that will prevent M 2 from sliding off? Draw a free-body diagram for each block (b) What’s the force acting on the bottom block given the condition in (a)?(c) If the coefficient of kinetic friction is half the amount you solved in (a) find the acceleration of block M 2 , where the acceleration of the bottom block remains the same.(d) What’s the force acting on the bottom block given the condition in (c)?arrow_forward
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