Home
Class 12
PHYSICS
A small block of mass m is pushed on a s...


A small block of mass m is pushed on a smooth track from position A with a velocity `(2)/(sqrt(5))` times the minimum velocity required to reach point D. The block will leave the contact with track at the point where normal force between them becomes zero.
Q. At what angle `theta` with horizontal does the block gets separated from the track?

A

`sin^(-2)((1)/(3))`

B

`sin^(-1)((3)/(4))`

C

`sin^(-1)((2)/(3))`

D

never leaves contact with the track

Text Solution

Verified by Experts


`v_1=(2)/(sqrt5)sqrt(5gR)=2sqrt(gR)`
Now `v_2^(2)=v_1^(2)-2g(R+Rsintheta)`
`impliesv_2^2=2gR-2gRsintheta`
`N+mgsintheta=(mv_2^2)/(R), put N=0`
`impliesmgsintheta=m^(2)g(1-sintheta)`
`impliessintheta=(2)/(3)impliestheta=sin^(-1)((2)/(3))`
Promotional Banner

Similar Questions

Explore conceptually related problems

A small block of mass m is pushed on a smooth track from position A with a velocity 2sqrt5 times the minimum velocity required to reach point D. The block will leave the contact with track at the point where normal force between them becomes zero. At what angle theta with horizontal does the block gets separated from the track?

A small block of mass m is pushed on a smooth track from position A with a velocity (2)/(sqrt(5)) times the minimum velocity required to reach point D. The block will leave the contact with track at the point where normal force between them becomes zero. Q. Find where the maximum contact force occurs betwee the block and the track .

A small block of mass m is pushed on a smooth track from position A with a velocity 2sqrt5 times the minimum velocity required to reach point D. The block will leave the contact with track at the point where normal force between them becomes zero. Find where the maximum contact force occurs between the block and the track.

A small block of mass m is pushed on a smooth track from position A with a velocity (2)/(sqrt(5)) times the minimum velocity required to reach point D. The block will leave the contact with track at the point where normal force between them becomes zero. Q. When the block reaches the point B, what is the direction (in terms of angle with horizontal) of acceleration of the block?

A small block of mass m is pushed towards a movable wedge of mass etam and height h with initial velocity u.All surface are smooth. The minimum value of u for which the block will reach the top of the wedge:

A block of mass m is projected on a smooth horizontal circular track with velocity v what is the average normal force exered by the circular walls on the block during motion A to B?

A small block of mass m slides along a smooth frictional track as shown in the figure. If it starts from rest at P, what is the resultant force acting on it at Q?

A block of mass m is released along a smooth track shown in figure from its top point. Find the word done by gravity during its downward motion to the bottom of track.