Inclined Plane
A block of mass 10 kg rests on an inclined plane making an angle of 30° with the horizontal. If the coefficient of static friction is 0.5, what is the minimum force required to move the block up the plane? (g = 10 m/s²)
Select the correct option:
🔒 Solution Hidden from View
Submit your answer to unlock the detailed step-by-step solution.
More laws of motion Practice Questions
A block placed on a rough inclined plane remains on the verge of sliding when the incline is tilted ...
A block placed on a rough inclined plane remains on the verge of sliding when the incline is tilted ...
A pendulum hangs from the roof of a railway carriage that is accelerating horizontally, and the stri...
A pendulum hangs from the roof of a railway carriage that is accelerating horizontally, and the stri...
The linear momentum of a moving particle varies with time according to the relation p = 8 + 6t, wher...
The linear momentum of a moving particle varies with time according to the relation p = 8 + 6t, wher...
A block of weight 50 N rests on a horizontal floor while an external force of 20 N is applied on it ...
A block of weight 50 N rests on a horizontal floor while an external force of 20 N is applied on it ...
A wooden block resting on a rough horizontal floor just begins to slide when a horizontal pull equal...
A wooden block resting on a rough horizontal floor just begins to slide when a horizontal pull equal...
Two blocks of masses 3 kg and 2 kg are connected by a light string and pulled along a smooth horizon...
Two blocks of masses 3 kg and 2 kg are connected by a light string and pulled along a smooth horizon...
A bucket of water is whirled in a vertical circle of radius 0.9 m, and at the highest point the wate...
A bucket of water is whirled in a vertical circle of radius 0.9 m, and at the highest point the wate...
A car negotiates a curved road of radius 100 m that is banked at an angle so that no friction is nee...
A car negotiates a curved road of radius 100 m that is banked at an angle so that no friction is nee...
A small box slides down a smooth incline that makes an angle of 30 degrees with the horizontal surfa...
A small box slides down a smooth incline that makes an angle of 30 degrees with the horizontal surfa...
A hockey puck sliding across rough ice with an initial speed of 12 m/s comes to rest after travellin...
A hockey puck sliding across rough ice with an initial speed of 12 m/s comes to rest after travellin...
A football of mass 0.4 kg is kicked from rest and leaves the foot with a speed of 25 m/s after the f...
A football of mass 0.4 kg is kicked from rest and leaves the foot with a speed of 25 m/s after the f...
Rain falls vertically and is collected by a stationary open cart, with water arriving at a steady ra...
Rain falls vertically and is collected by a stationary open cart, with water arriving at a steady ra...
About This Question
- Subject
- physics
- Chapter
- laws of motion
- Topic
- inclined plane
- Difficulty
- Hard
- Year
- 2025
Solution
Correct Answer:
93.3 N
- Force Analysis: To move the block up, the applied force P must overcome both gravity's component and maximum friction.
- Force down the plane: Fg=mgsinθ=100×0.5=50 N.
- Normal force: N=mgcosθ=100×0.866=86.6 N.
- Friction Calculation:
- fmax=μsN=0.5×86.6=43.3 N.
- Summation:
- Pmin=Fg+fmax=50+43.3=93.3 N.
- Result: A force of 93.3 N is required to break static equilibrium and initiate motion upward.
This hard difficulty physics question is from the chapter laws of motion, covering the topic of inclined plane. It appeared in the 2025 exam.
Looking for more practice? Explore all physics questions or browse laws of motion questions on RankGuru.