Question

a toy car is moving on an inclined plane of inclination 30.the coefficient of friction between the tyres and inclined plane is 0.5.the maximum constant speed of car, such that car does not slip is

Answer 1

HEYA!!
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The acceleration of a body on a rough inclined plane is ,

$a = > g(sin \: \alpha - u \: cos \beta ) \\ \\ = 10(sin30 - \frac{1}{2} \times cos30) \\ \\ = > 10( \frac{1}{2} - \frac{1}{2} \times \frac{ \sqrt{3} }{2} ) \\ \\ \\ = > > 10( \frac{1}{2} - \frac{ \sqrt{3} }{4} ) \\ \\ = 10( \frac{2 - \sqrt{3} }{4} ) \\ \\ = > > 10( \frac{0.27}{4} ) = 0.67ms {}^{ - 2}$
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