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TS EAMCET · Physics · Laws of Motion

A car is moving on circular track banked at an angle of \(45^{\circ}\). If the maximum permissible speed of the car to avoid slipping is twice the optimum speed of the car to avoid the wear and tear of the tyres, then the coefficient of static friction between the wheels of the car and the road is

  1. A 0.3
  2. B 0.5
  3. C 0.4
  4. D 0.6
Verified Solution

Answer & Solution

Correct Answer

(D) 0.6

Step-by-step Solution

Detailed explanation

Maximum speed \(V_{\max }=\sqrt{\frac{r g(\mu+\tan \theta)}{1-\mu \tan \theta}}\) and optimum speed \(V_{\mathrm{o}}=\sqrt{\mathrm{rg} \tan \theta}\) Given \(\theta=45^{\circ}\) and \(V_{\max }=2 V_0\)…
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