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A block of mass 1 kg is stationary with ...

A block of mass `1 kg` is stationary with respect to a conveyer belt that is accelerating with `1 m//s^(2)` upwards at an angle of `30^(@)` as shown in figure. Which of the following is`//`are correct?

A

Force of friction on block is 6 N upwards

B

Force of friction on block is `1.5` N upwards

C

Contact force between the block and belt is `10.5 N`

D

Contact force between the block and the belt is `5 sqrt3N`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Block is moving upwards due to friction `f_(r) - mg sin 30^(@) = ma`
` (##GRB_AM_PHY_C07_E01_104_S01.png" width="80%">
`implies f_(r) - 1 xx 10 xx (1)/(2) = 1 xx l implies f_(r) = 6N`
Contact force is the resultant of N and `f_(r)`
`= sqrt(N^(2) + f_(r)^(2)) = sqrt((mg cos 30)^(2) + (6)^(2))`
`=10.5 N`
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Knowledge Check

  • A block of mass 1 kg is stationary with respect to a converyor belt that is accelerationg with 1 m//s^(2) upward at an angle of 30^(@) as shown in figure . Which of the following statement (s) is /are correct ? (g=10m//s^(2))

    A
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    B
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    D
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  • Figure shows a man of mass 55 kg standing stationary with respect to a horizontal conveyor belt that is accelerating with 1m s^(-2) . The net force acting on the man is

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