Laws of Motion ...

When several forces act on a body

Inertia refers to

What should be the tension in a rope pulling vertically upward a mass of 100 kg so that starting from rest, it acquires a velocity of 4 m/s in 1.5 sec?

According to Newton's second law of motion

Directions: The following question has four choices out of which ONLY ONE is correct.

A cyclist turns around a curve at 15 km/hr. If he turns at double the speed, the tendency to overturn is

Force is a

A given object takes n times as much time to slide down a 45° rough incline as it takes to slide down a perfectly smooth 45° incline. The coefficient of kinetic friction between the object and the incline is given by

A stationary body of mass 3 kg explodes into three identical pieces. Two of the pieces fly off at right angles to each other, one with a velocity m/s and the other with a velocitym/s. If the explosion takes place in 10^-5 s, the average force (in Newton) acting on the third piece is

Force F at a point in space (location of the particle) at a certain instant of time t is

Directions: The following question has four choices out of which ONLY ONE is correct.

The maximum and minimum tension in the string whirling in a circle of radius 2.5 m with constant velocity are in the ratio 5 : 3 then its velocity is (g = 9.8 m/s²)

Directions: The following question has four choices out of which ONLY ONE is correct.

_{What is the value of linear velocity, if angular velocity is 3– 4+  and distance from the centre is 5 – 6 + 6?}

The force acting on a freely falling body in terms of mass m and acceleration due to gravity g is

Two blocks of equal mass m are released from the top of a smooth fixed wedge as shown in the figure. The acceleration of the center of mass of the two blocks is

The force on a rocket, moving with a velocity of 300 m/s is 210 N. Then, the rate of combustion of the fuel will be

Two blocks of masses m₁ = 3 m and m₂ = 2 m are suspended from a rigid support by two inextensible uniform wires A and B. Wire A has negligible mass and wire B has a mass m₃ = m as shown in the figure. The whole system of blocks, wires and the support has an upward acceleration a.



The tension at the midpoint C of wire B is

A cubical block of mass 'm' rests on a rough horizontal surface. μ is the coefficient of static friction between the block and the surface. A force mg, acting on the cube at an angle θ with the vertical side of the cube, pulls the block. If the block is to be pulled along the surface, then the value cot(θ/2) is 

A ball of mass 0.6 kg attached to a light inextensible string rotates in a vertical circle of radius 0.75 m. It has a speed of 5 ms^-1 when the string is horizontal. Tension in string when it is horizontal on the other side is (Take g = 10 ms^-2)

Impulse is

The second law of motion is a vector law. It is equivalent to

Momentum of a body is

A small block is shot into each of the four tracks as shown below. Each of the frictionless tracks rises to the same height. The speed with which the block enters the tracks is the same in all the cases. At the highest point of the track, normal reaction is the maximum in

The minimum force required to move a body up an inclined plane of inclination 30^o is found to be thrice the minimum force required to prevent it from sliding down the plane. The coefficient of friction between the body and the plane is 

A block of mass 5 kg is resting on an inclined plane. The inclination of the plane to the horizontal direction is gradually increased. It is found that when the angle of inclination is 30°, the block just begins to slide down the plane. The coefficient of sliding friction between the block and the plane is

The figure shows two blocks A and B pushed against a smooth wall with force F. The wall is smooth, but the surface of contact of A and B is rough. Which of the following is true for the system of blocks?

If second law is applied to a rigid body