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Q.

A block of mass 3kg   which is on a smooth inclined plane making an angle of 300  to the horizontal is connected by a cord passing over a light frictionless pulley to a second block of mass 2kg  hanging vertically. What is the acceleration of each block and what is the tension of the cord?

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a

0.98m/s2;17.6N

b

1.98m/s2;19.6N

c

0.49m/s2;9.8N

d

1.47m/s2;4.9N

answer is A.

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Detailed Solution

a=m2g−m1gsinθm1+m2=2×9.8−3×9.8×125=0.98 m/s2 For hanging block, m2g−T=m2a ⇒T=m2(g−a)=17.6 N
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