A car of mass \( M \) is travelling on a horizontal circular path of radius \( r \). At an insta...

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A car of mass \( M \) is travelling on a horizontal circular path of radius \( r \). At an instant its speed is \( v \) and tangential acceleration is \( \mathrm{a} \) :
(a) The acceleration of the car is towards the centre of the path.
(b) The magnitude of the frictional force on the car is greater than \( \frac{m v^{2}}{r} \).
(c) The friction coefficient between the ground and the car is not less than a/g.
(d) The friction coefficient between the ground and the car is \( \mu=\tan ^{-1} \frac{v^{2}}{r g} \).
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