http://imgur.com/1A416YK In the picture above, a single string is passed through
ID: 2131136 • Letter: H
Question
http://imgur.com/1A416YK
In the picture above, a single string is passed through two pulleys. Both ends are attached to a block of mass m = 35 kg. The angle of the frictionless incline is ? = 18 degrees. One end of the string is pulling the block vertically up. The other end of the string is pulling the block in a direction parallel to the incline. The block is not moving. What is the tension T in the string?
In the picture above, a single string is passed through two pulleys. Both ends are attached to a block of mass m = 35 kg. The angle of the frictionless incline is ? = 18 degrees. One end of the string is pulling the block vertically up. The other end of the string is pulling the block in a direction parallel to the incline. The block is not moving. What is the tension T in the string?Explanation / Answer
the forces acting on M2 are F and T.
from Newton's second law: F-T=M2*a ...(1)
on M1 acting only T. from Newton's second law:T=M1*a ...(2)
substituting the value of T from equation (2) in equation (1) gives:
F-M1*a=M2*a
a=F/(M1+M2) ,substituting this value in equation (2) gives:
T=F*[M1/(M1+M2)]
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