This problem explores the relationship between the mass of two blocks and their acceleration. Block A,...
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This problem explores the relationship between the mass of two blocks and their acceleration. Block A, of mass 2.0 kg, rests on a horizontal tabletop. There is negligible friction between Block A and the tabletop. The figure below shows Block B, of mass 1.0 kg, hanging from a light string that runs over a pulley and attaches to Block A. Assume the pulley has negligible mass and is frictionless. The blocks are released from rest. 2.0 kg Pulley 1.0 kg a. Estimate the magnitude of the acceleration of the blocks after release. Briefly explain your reasoning without deriving or using equations. (2 points) b. Draw and label a free-body diagram identifying the forces (not components) exerted on each block after release. Use a dot model, and represent each force by a distinct arrow. The arrow should start on the dot and point away. Write your name and today's date in the upper right corner. Scan or take a picture of your diagrams and attach to this item. (6 points) c. Calculate the acceleration of Block A and Block B after release. Show your work. (4 points) d. While the blocks are accelerating, the tension in the vertical portion of the string is T1. If T2 is the tension in the horizontal portion of the string, how do the two tensions compare to each other? Select one of the options below. Briefly explain your reasoning. (3 points) Option 1: T2> T1 о 。 Option 2: T2 = T1 ° Option 3: T2T1 This problem explores the relationship between the mass of two blocks and their acceleration. Block A, of mass 2.0 kg, rests on a horizontal tabletop. There is negligible friction between Block A and the tabletop. The figure below shows Block B, of mass 1.0 kg, hanging from a light string that runs over a pulley and attaches to Block A. Assume the pulley has negligible mass and is frictionless. The blocks are released from rest. 2.0 kg Pulley 1.0 kg a. Estimate the magnitude of the acceleration of the blocks after release. Briefly explain your reasoning without deriving or using equations. (2 points) b. Draw and label a free-body diagram identifying the forces (not components) exerted on each block after release. Use a dot model, and represent each force by a distinct arrow. The arrow should start on the dot and point away. Write your name and today's date in the upper right corner. Scan or take a picture of your diagrams and attach to this item. (6 points) c. Calculate the acceleration of Block A and Block B after release. Show your work. (4 points) d. While the blocks are accelerating, the tension in the vertical portion of the string is T1. If T2 is the tension in the horizontal portion of the string, how do the two tensions compare to each other? Select one of the options below. Briefly explain your reasoning. (3 points) Option 1: T2> T1 о 。 Option 2: T2 = T1 ° Option 3: T2T1
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a The magnitude of the acceleration of the blocks after release can be estimated by considering the ... View the full answer
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
Posted Date:
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