Grade 12IIT JEE Entrance Exam

A block is resting on a horizontal plate in the xy plane and the coefficient of friction between block and plate is μ. The plate begins to move with velocityv = bt² in x-direction. At what time will the block start sliding on the plate?

yash

11 Years agoGrade 12

5 Answers

PRATYUSH MISHRA

Approved Tutor Answer11 Years ago

Hi yash!

as the plate begins to move frictional force acts on the block along the direction of velocity to prevent relative motion.

when the force exceed the maximum static friction the block will move.

a=dv/dt=2bt and the force by plate on block=ma(where m is the mass of block)

so when ma exceeds μmg then the block begins to slide

so ma>=μmg so t>=μg/2b

so at t=μg/2b the block slides

yash

11 Years ago

thanks

yash

11 Years ago

are you studying in an iit

PRATYUSH MISHRA

11 Years ago

no not yet yash I am a student of class 11

sajid

11 Years ago

as the plate begins to move frictional force acts on the block along the direction of velocity to prevent relative motion.

when the force exceed the maximum static friction the block will move.

a=dv/dt=2bt and the force by plate on block=ma(where m is the mass of block)

so when ma exceeds μmg then the block begins to slide

so ma>=μmg so t>=μg/2b

so at t=μg/2b the block slides

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A block is resting on a horizontal plate in the xy plane and the coefficient of friction between block and plate is μ. The plate begins to move with velocityv = bt2 in x-direction. At what time will the block start sliding on the plate?

yash

5 Answers

PRATYUSH MISHRA

yash

yash

PRATYUSH MISHRA

sajid

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A block is resting on a horizontal plate in the xy plane and the coefficient of friction between block and plate is μ. The plate begins to move with velocityv = bt² in x-direction. At what time will the block start sliding on the plate?