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Question

The diagram shows an arrangement of three pulleys A,B and C. The load is marked as L and the effort as E. How are the magnitudes of L and E related to the tension T1?

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A
L=T1,E=T1
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B
L=T1,E=4T1
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C
L=4T1,E=4T1
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D
L=4T1,E=T1
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Solution

The correct option is D L=4T1,E=T1
The unknown forces, L and E, can be calculated by putting net force equal to zero on each pulley.
Let's start with pulley C:
The tension in the string will be equal to E, because a string always has equal forces on the both end if the pulley is frictionless.
E=T1
On pulley B:
T2=2T1......equation1
On pulley A:
L=2T2......equation2
By putting value of T2 from equation 1 to equation 2
L=2(2T1)
L=4T1

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