Two forces each of 4N act on opposite sides of a rectangular plane as shown in the diagram below. Calculate the magnitude of the couple acting on the plane.

A 1000kg elevator is descending vertically with an acceleration of 1m/s². If the acceleration due to gravity is 10m/s², the tension in the suspending cable is

In the above diagram, the block just moves when the spring balance reads 15.0N. What is F?

A cone in an unstable equilibrium has its potential energy

The limiting frictional force between two surfaces depends on
I. the normal reaction between the surfaces
II. the area of surfaces in contact
III. the relative velocity between the surfaces
IV. the nature of the surfaces

The diagrams below show the positions of a cone. The position which can be described as neutral equilibrium is represented as

A constant force of magnitude F, acts on an object of mass 0.4kg initially at rest at a point O. If the speed of the object when it has moved 50m from O is 500m/s, what is the value of F?

The figure below shows four forces 3N, 10N, 3√3N and 6N acting on a particle P. The resultant of the four forces is

Which of the following statements is NOT correct?
A moving vehicle comes to rest as a result of

A boy pulls a nail from the wall with a string tied to the nail. The string is inclined at an angle of 60° to the wall. If the tension in the string is 4N, what is the effective force used in pulling the nail?

A weight of 1000g hangs from a lever 20cm to the right of the fulcrum. At the left is a 500g weight 20cm from the fulcrum. If a 200g weight is Ycm away from the fulcrum, what is the value of Y that will make the lever balance?

In the diagram below, the hanging mass M₂ is adjusted until M₁ is on the verge of sliding. The co-efficient of static friction between the mass M₁ and the table is

Tara pushes a 500kg box along a floor with a force of 2000N. If the velocity of the box is uniform, the coefficient of friction between the box and the floor is. 
(g = 10m/s²)

Two horizontal forces, 10N and 8N and another force, F inclined at 30° to the vertical acting as shown in the diagram below, keep the body P in equilibrium.
The weight of the body is 

Consider the three forces acting at O and in equilibrium as shown above. Which of the following equations is/are correct?
I. P₁Sinꝋ₁ = P₂Sinꝋ₂ 
II. P₃ = P₁Cosꝋ₁ + P₂Cosꝋ₂
III. P₁Cosꝋ₁ = P₁Cosꝋ₂

Two forces of magnitude 7N & 3N act at right angles to each other.  The angle θ between resultant and the 7N force is given by

The centre of gravity of a uniform triangular lamina is the point of intersection of

A mass of 2kg on a surface (μ = 1/2) is connected to a second mass of 4kg over a frictionless pulley as shown in the diagram. If the acceleration due to gravity is 9.8m/s², then the masses will

From the diagram shown below, if the forces are in equilibrium, what is the value of tension T?

In the figure below, the three forces F_{1 ,} F₂ & F₃ acting at O are in equilibrium. If the magnitude of F₁ is 10.0N and the magnitude of F₂ is 5.0N; find the magnitude of F₃

A body of mass 4kg is on the point of slipping down a plane which is inclined at 30° to the horizontal. What force, parallel to the plane, will just move it up the plane? 
(g = 10m/s²)

An 80mm column of a liquid is balanced by 120mm column of water in a Hare's apparatus. Calculate the density of the liquid (density of water = 1000kg/m³)

A force of 10N, drags a mass of 10kg on a horizontal table with an acceleration of 0.2m/s². If the acceleration due to gravity is 10m/s²,  the co-efficient of friction between the moving mass and the table is

A body of mass 2kg is placed on a rough inclined plane whose angle of inclination is 30º. Find the resultant force acting down the slope and the acceleration if a frictional force of 5N acts between the body and the inclined surface

Calculate the magnitude of the force required to just move a 20kg object along a horizontal surface if the co-efficient of friction is 0.2