Force analysis, constraint relations, friction, pseudo-forces.
Test yourself on Newton's Laws & Friction
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Q1 · Newton's Laws & Friction · MEDIUM
A block of mass 5 kg rests on a rough inclined plane making an angle of 37° with the horizontal. The coefficient of static friction is 0.5. A horizontal force F is applied to the block. The minimum value of F required to just move the block up the incline is (take g = 10 m/s², sin 37° = 0.6, cos 37° = 0.8):
Q2 · Newton's Laws & Friction · HARD
A block of mass 2 kg rests on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between the block and plane is 0.7 and kinetic friction is 0.5. A horizontal force F is applied to the block. The minimum value of F required to move the block up the incline is closest to (Take g = 10 m/s²):
Q3 · Newton's Laws & Friction · MEDIUM
Two blocks of masses 3 kg and 5 kg are connected by a light string passing over a frictionless pulley. The 5 kg block rests on a rough horizontal surface with coefficient of friction μ = 0.4, while the 3 kg block hangs vertically. The acceleration of the system is (g = 10 m/s²):
Q4 · Newton's Laws & Friction · HARD
A block of mass 4 kg rests on a rough inclined plane making an angle of 37° with the horizontal. The coefficient of static friction between the block and the plane is 0.6 and the coefficient of kinetic friction is 0.5. A horizontal force F is applied to the block. The minimum value of F required to just move the block up the plane is approximately (Take g = 10 m/s², sin 37° = 0.6, cos 37° = 0.8)
Q5 · Newton's Laws & Friction · HARD
A block of mass 3 kg rests on a rough inclined plane at angle θ = 30° with the horizontal. The coefficient of static friction is 0.6. A horizontal force F is applied to just prevent the block from sliding down. The magnitude of F is closest to: