College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A 10 kg box is placed on one end of 1-m-long plank. The plank itself also has a mass of 10 kg. This arrangement is held in a horizontal position by two cables, as shown in the figure below. (a) Draw a free-body diagram for this system. (b) Find the cable tensions
Transcribed Image Text:The image depicts a physics problem involving tension in a system. There is a bar suspended horizontally between two vertical walls with two tension forces acting on it.
- **Tension Forces**:
- \( \vec{T}_1 \) acts at an angle of \( 60^\circ \) from the horizontal on the right side.
- \( \vec{T}_2 \) acts at an angle of \( 30^\circ \) from the horizontal on the left side.
Each tension force is represented by an arrow, indicating the direction and point of action. The angles are measured from the horizontal dashed lines extending from the bar to the walls. This setup can be used to analyze equilibrium and tension in physics problems, such as calculating the forces needed to maintain the bar in a stationary position.
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- Two objects with masses of 3.00 kg and 5.00 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. (a) Draw a free-body diagram for each object. Determine (b) the tension in the string, (c) the acceleration of each object, and (d) the distance each object will move in the first second of motion if both objects start from rest.arrow_forwardProblem 4: A ball of mass m is connected to two rubber bands of length L, cach under temsion T, as shown in the Figure. Assume the tension does not change. (a) The ball of mass m is in equilibrium. Draw a free-body diagram on m. (b) Since the ball of mass m is in equilibrium, Enet y = 0. Use Fnet.y=0 to find the equilibrium position for the ball yo. Hint: sin 0=yo/L, Answer: yo = mgL/(2T'). |Yo L. T. L т (c) The ball of mass m is now displaced slightly from equilibrium, as shown in the figure below. Draw a free-body diagram on m. (d) Use Newton's 2nd Law: Fnet,y = ma = -m to show that the motion of m satisfies the SHM differential equation + w²u = 0, where u = y – Yo and w = since the downward gravitational force on the ball is larger than the two upward tension forces on the ball. Hint: sin 0 = y/L. Also, from part (b), yo = mgL/(2T). We can rewrite this expression as mg = 2T(yo/L). Use this expression to substitute for mg in Newton's 2nd Law: Fnet.y = -ma = -my | 2T. For this problem…arrow_forwardConsider the 65.0 kg mountain climber in the figure. (a) Find the tension in the rope (in N) and the force that the mountain climber must exert with her feet (in N) on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms. tension in rope N: force on feet N: (b) What is the minimum coefficient of friction between her shoes and the cliff?arrow_forward
- The system is released from rest in the position shown. Calculate the tension T in the cord and the acceleration a (positive if to the right, negative if to the left) of the 37-kg block. The small pulley attached to the block has negligible mass and friction. (Suggestion: First establish the kinematic relationship between the accelerations of the two bodies.) Answers: T = a = H₂= Hk = μ = 0.49 4 i 37 kg 38 kg N ! m/s²arrow_forwardA beam of mass M and length L is hanging from a rope perpendicular to a wall. The rope is attached at a point that is 75% of the length of the beam. A second rope is attached to the end of the beam. On the second rope hangs a block with mass m. (a) Draw all forces acting on the beam in a free body diagram. (b) Write the equations necessary for equilibrium in terms of the forces for this situation. (c) Use the torque equation to solve for the tension.arrow_forwardF m₁ 8 A 5 kg block is on a 39 degree incline for which uk = 0.1. It is acted on by a horizontal force of 24 N, as shown in the above figure. a) What is the acceelreation of the block if it is moving up the incline? (enter a positive value if the acceleration is directed up the incline, enter a negative value if the acceleration is directed down the incline) m/s² b) If its initial speed is 5 m/s up the incline, how far does it travel in 2 s? marrow_forward
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