A boy standing on a frictionless wooden deck pulls two large wooden blocks that are held together by a rope. From the horizontal with an angle theta, F( F with a vector sign) is the pulling force and the two blocks accelerate. Considering the rope is not able to extend more and doesn't have a mass, a) Sketch the free body diagram if the mass of one block is m1 and the other is m2. b) In relation to F, theta, m1 and m2; determine the magnitude of the tension next to the rope that is connecting the two blocks. c) F = 30N, theta = 35 degrees, m1= 6. 5kg and m2 = 4.8kg, find the magnitude of tension.
A boy standing on a frictionless wooden deck pulls two large wooden blocks that are held together by a rope. From the horizontal with an angle theta, F( F with a vector sign) is the pulling force and the two blocks accelerate. Considering the rope is not able to extend more and doesn't have a mass, a) Sketch the free body diagram if the mass of one block is m1 and the other is m2. b) In relation to F, theta, m1 and m2; determine the magnitude of the tension next to the rope that is connecting the two blocks. c) F = 30N, theta = 35 degrees, m1= 6. 5kg and m2 = 4.8kg, find the magnitude of tension.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
A boy standing on a frictionless wooden deck pulls two large wooden blocks that are held together by a rope. From the horizontal with an angle theta, F( F with a vector sign) is the pulling force and the two blocks accelerate.
Considering the rope is not able to extend more and doesn't have a mass,
a) Sketch the free body diagram if the mass of one block is m1 and the other is m2.
b) In relation to F, theta, m1 and m2; determine the magnitude of the tension next to the rope that is connecting the two blocks.
c) F = 30N, theta = 35 degrees, m1= 6. 5kg and m2 = 4.8kg, find the magnitude of tension.
Expert Solution
Step 1
a) 
b) by fbd of system in horizontal direction
FCosθ = (m1+m2)a
a = FCosθ / (m1+m2)
Now by fbd of m2
T = m2a = (m2FCosθ)/(m1+m2)
c) T = (4.8×30×Cos35°)/(6.5+4.8)
T = 10.44 N
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