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BITSAT2015PhysicsOscillationsActual

Vertical displacement of a plank with a body of mass (m ) on it is varying according to law (y= t+ 3 t ). The minimum value of ( ) for which the mass just breaks off the plank and the moment it occurs first after ( t =0 ), are given by

Options

  1. A( g / 2 , 2 6 g )
  2. B( g 2 , 2 3 / g )
  3. C( g / 2 , 3 2 / g )
  4. D( 2 g , 2 / 3 g )

Correct answer

A. ( g / 2 , 2 6 g )

Step-by-step solution

From, figure, array ll & _ R = ( 3 )²+(1)² -2 & = ⁻¹ ( 3 1 )= 3 & y =2 ( t + 3 ) array d ² y dt ² = a =-2 ² ( t + 3 ) a_ =-2 ²=g For which mass just breaks off the plank = g / 2 This will be happen for the first time when array l t + 3 + 2 or t = 6 t = 6 = 6 2 ~g array

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