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Question: Two blocks are attached to the two ends of a string passing over a smooth pulley as shown in the fig...

Two blocks are attached to the two ends of a string passing over a smooth pulley as shown in the figure. The acceleration of the block will be (in m/s2) (sin 37o = 0.60, sin 53o = 0.80)

A

0.33

B

0.133

C

1

D

0.066

Answer

0.133

Explanation

Solution

a=m2sin⁡β−m1sin⁡αm1+m2ga = \frac { m _ { 2 } \sin \beta - m _ { 1 } \sin \alpha } { m _ { 1 } + m _ { 2 } } g =50sin⁡53∘−100sin⁡37∘100+50g= \frac { 50 \sin 53 ^ { \circ } - 100 \sin 37 ^ { \circ } } { 100 + 50 } g

=−0.133 m/s2= - 0.133 \mathrm {~m} / \mathrm { s } ^ { 2 }