Equilibrium of Forces

Physics ⇒ Mechanics

Equilibrium of Forces starts at 9 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Equilibrium of Forces. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 11

A 10 kg mass is suspended by two ropes making angles of 30° and 60° with the ceiling. Calculate the tension in each rope. (Take g = 9.8 m/s²)

A 2 m long uniform plank weighing 100 N is supported at one end and at a point 0.5 m from the other end. If a 200 N load is placed at the free end, find the reactions at the supports.

A 5 m long uniform beam of weight 300 N is supported at its ends. A 600 N load is placed 2 m from the left end. Calculate the reactions at the supports.

A 50 N force acts at a distance of 0.4 m from a pivot. Calculate the moment of the force about the pivot.

A ladder rests against a smooth wall and rough ground. Explain why friction acts at the base of the ladder and not at the wall.

A signboard of mass 20 kg is suspended by two cables making angles of 45° and 60° with the horizontal. Calculate the tension in each cable. (Take g = 9.8 m/s²)

A uniform beam of length 4 m and weight 200 N is supported at its ends. A 400 N weight is placed 1 m from the left end. Calculate the reaction forces at the supports.

A uniform meter rule is balanced at the 40 cm mark when a 50 g mass is hung at the 10 cm mark. Find the mass of the meter rule.

A uniform rod of length 2 m and mass 5 kg is supported horizontally at its ends. A 10 kg mass is hung 0.5 m from the left end. Find the force at each support. (Take g = 10 m/s²)

Define the term 'couple' in the context of rotational equilibrium.

Describe the difference between concurrent and parallel forces in the context of equilibrium.

Explain the difference between static equilibrium and dynamic equilibrium.

Explain why a person carrying a heavy load on their back leans forward.

Explain why a wider base increases the stability of an object.

If a body is in equilibrium under the action of three coplanar forces, which theorem can be used to relate their magnitudes and directions?

State Lami's Theorem.

State the two conditions required for a body to be in equilibrium.

A block of mass 8 kg is suspended by two ropes, one making an angle of 40° above the horizontal to the left and the other making an angle of 50° above the horizontal to the right. Calculate the tension in each rope. (Take g = 9.8 m/s²)

A particle is in equilibrium under the action of four forces in a plane. If three of the forces are 10 N, 15 N, and 20 N, and the angles between consecutive forces are 90°, 120°, and 150°, respectively, calculate the magnitude and direction of the fourth force.

A uniform beam of length 6 m and weight 400 N is hinged at one end to a wall and held horizontally by a wire attached to the other end and making an angle of 30° with the horizontal. Calculate the tension in the wire and the horizontal and vertical components of the hinge reaction. (Take g = 9.8 m/s²)