JEE Advanced2009PhysicsLaws of MotionActual
A block of base 10 ~cm 10 ~cm and height 15 ~cm is kept on an inclined plane. The coefficient of friction between them is 3 . The inclination of this inclined plane from the horizontal plane is gradually increased from 0^ . Then,
Options
- Aat =30^ , the block will start sliding down the plane
- Bthe block will remain at rest on the plane up to certain and then it will topple
- Cat =60^ , the block will start sliding down the plane and continue to do so at higher angles
- Dat =60^ , the block will start sliding down the plane and on further increasing , it will topple at certain
Correct answer
B. the block will remain at rest on the plane up to certain and then it will topple
Step-by-step solution
Condition of sliding is m g > m g or > or > 3 Condition of toppling is Torque of m g about 0> torque of m g about (m g ) ( 15 2 )>(m g ) ( 10 2 ) or > 2 3 With increase in value of , condition of sliding is satisfied first.