Equilibrium of Forces
Physics ⇒ Mechanics
Equilibrium of Forces starts at 9 and continues till grade 12.
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See sample questions for grade 10
A 10 N force acts to the right and a 10 N force acts to the left on a box. What is the net force on the box?
A 15 N force acts upward and a 10 N force acts downward on an object. What additional force is needed to keep the object in equilibrium?
A 5 kg object is suspended by two ropes making equal angles with the ceiling. If the object is at rest, what can you say about the forces in the vertical direction?
A block is at rest on a rough inclined plane. Name the three forces acting on the block.
A uniform beam is balanced at its center. If a 10 N weight is hung 2 m from the center on one side, where should a 20 N weight be hung on the other side to balance the beam?
A uniform rod of length 2 m is supported at one end. If it is in equilibrium, where is its center of gravity located?
Describe what happens to a body in unstable equilibrium when slightly displaced.
Explain the difference between stable, unstable, and neutral equilibrium.
If a body is in equilibrium under the action of three forces, what can you say about the directions of these forces?
If three forces acting on a point are in equilibrium, what is the vector sum of these forces?
A 12\;\text{N} force acts at 60^\circ above the horizontal to the right, and a 16\;\text{N} force acts at 30^\circ below the horizontal to the left. What single force will keep the system in equilibrium?
A 2\;\text{kg} object is suspended from a ceiling by a light string. A horizontal force of 10\;\text{N} is applied to the object, causing the string to make an angle with the vertical. Calculate the tension in the string when the object is in equilibrium.
A traffic light of mass 20\;\text{kg} is suspended from the middle of a horizontal cable stretched between two poles. If the cable makes an angle of 15^\circ with the horizontal at each end, what is the tension in the cable? (Assume equilibrium and neglect the mass of the cable.)
A uniform beam of length 4\;\text{m} and weight 200\;\text{N} is supported horizontally at its ends. A 100\;\text{N} weight is hung 1\;\text{m} from the left end. Calculate the reaction forces at both supports.
A uniform rod of length 3\;\text{m} and mass 6\;\text{kg} is supported horizontally by two supports placed 0.5\;\text{m} from each end. If a 12\;\text{kg} mass is hung at one end, calculate the force on each support.
State Lami's theorem and explain its application in solving problems involving the equilibrium of three coplanar forces.
