Determine the maximum acceleration of the train in which a box lying on its floor will remain stationary, given that the coefficient of static friction between the box and the train’s floor is $$0.15.$$

 1 $$0$$ 2 $$0.5~\mathrm{m/s^2}$$ 3 $$2.5~\mathrm{m/s^2}$$ 4 $$1.5~\mathrm{m/s^2}$$
Subtopic:  Friction |
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See the figure given below, a mass of $$4$$ kg rests on a horizontal plane. The plane is gradually inclined until at an angle $$\theta=15^\circ$$ with the horizontal, the mass just begins to slide. What is the coefficient of static friction between the block and the surface?

1. $$0.27$$
2. $$0.53$$
3. $$0.23$$
4. $$0.25$$

Subtopic:  Friction |
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A cyclist speeding at 18 km/h on a level road takes a sharp circular turn of radius 3 m without reducing the speed. The coefficient of static friction between the tyres and the road is 0.1. Will the cyclist slip while taking the turn?

 1 no 2 yes 3 data insufficient 4 depends on the weight of the cyclist
Subtopic:  Friction |
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