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. \(0.5~\text{m/s}^2\)
3. \(2.5~\text{m/s}^2\)
4. \(1.5~\text{m/s}^2\)
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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