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A car of maas M is moving on a horizonta...

A car of maas M is moving on a horizontal circular path of radius r. At an instant its speed is v and is increasing at a rate a.

A

The net acceleration of the car is towards the centre of its path.

B

The magnitude of the frictional force on the car is greater than `(Mv^2)/(R )`.

C

The friction coefficient between the ground and the car in not less than `(beta)/(g)`.

D

The friction coefficient between the ground and the car is not less than `(v^2)/(Rg)`.

Text Solution

Verified by Experts

The correct Answer is:
B, C, D

`a=sqrt(a_c^2+a_t^2)=sqrt((v^2)/(R)^2+beta^2)`
Net acceleration is not towards centre.
`f=magtma_cimpliesfgt(mv^2)/(R)`
`impliesf_l=mumggefgtma_t`
impliesmumggtmbetaimpliesmugt(beta)/(g)`
also `mumggtfgtma_cimpliesmggt(mv^2)/(R )`
`impliesmugt(v^2)/(Rg)`
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