Engineering Mec...

A constant force of 10 N is acting on a body of mass ‘m’ for 10 seconds and changes its velocity from 10m/s to 15m/s. Calculate the mass of the body

A particle moves in a straight line and its position is defined by equation \(x = 6{t^2} - {t^3}\) where t is expressed in seconds and x in meters. The maximum velocity(m/s) during motion is____

The principle of virtual work can be applied to elastic system by considering the virtual work of

A solid cylinder of diameter 5.0 m has a height of 6.0 m. Find the meta-centric height of the cylinder if the specific gravity of the material of cylinder 0.45 and it is floating in water with its axis vertical. State whether the equilibrium is stable or unstable.

A toggle joint with equal arms is shown in figure. Find out the resistance offered by joint ‘A’ on horizontal direction.

A player hits a ball with a baseball but such that it repeats its path and goes back with incoming velocity of 20 m/s. if the mass of ball is 150 gm, then the impulse (magnitude) imparted by the bat is ____ kg.m/s (give magnitude only)

What is the ratio of radius of gyrations of two bars of small diameters, in first case axis is at end and in other case axis at centre of bar?

A 50 kg block is pulled up on 30° inclined plane by a constant force 800 N. Co-efficient of friction between block and plane is 0.5. What is the velocity of block after 10 seconds?

For a hexagonal cross sectional bar as per designer specification held in such a way that the total bar is having line contact with ground, but manufacturer placed that bar in such a way that it has area contact with ground. In which case it has more strength?

A differential pulley is used to lift a weight of 200 N as shown in figure. What is the minimum force required to lift the weight? Take smaller pulley radius as 2 m and larger pulley radius as 5 m

Two blocks of equal masses are made. One of them is smooth and the other is rough with coefficient of friction 0.20 with the floor. The smooth block is moving at 20 m/s towards the rough block at rest. If their collision is perfectly elastic, then the distance travelled by the rough block will be ______

The centre of Gravity of an equilateral triangle of side x lies at a height _______ measured on a median from any side.

A horizontal circular platform of radius 1m and mass 0.6 kg is free to rotate about its axis. Two massless guns, each carrying a bullet of mass 65 gm are attached at a distance of 0.4 m and 0.6 m from center and in opposite direction. If the guns fire simultaneously and speed of bullets are 25 m/s (each), then the magnitude of rotational speed of platform is

A solid pyramid height is 10m. Find out the centre of gravity distance from the base of pyramid.

A ladder rests against a frictionless wall. The coefficient of friction between ladder and the ground is 0.8. What is the smallest angle θ at which the ladder will remain stationary?

A person of weight 60 kg and carrying a bag weight of 20 kg. He tries to climb wall where ladder of mass 200 kg is placed, co-efficient of reaction between wall and ladder is 0.8 and ladder and ground is 0.9. When he is at 3/5 of the way up the ladder, it starts to slip. What was the angle between ladder and land when he starts climbing?

A car moving with 96 kmph decides to overtake a truck which is moving with 96 kmph. So car accelerates the speed up to 120 kmph and immediately starts to decelerate until its speed again dropped to 96 kmph. The whole process takes 30 seconds, if the gap between car and truck was 35 m and truck is 10 m long while car is 4m long. What will be the gap between car and track after 30 seconds?

A wound watch spring possesses energy in the form of-

The centre of gravity of a right circular cone that lies on the axis at a height from the base is equal to-

A block weighing W = 20 kN is resting on an inclined plane which makes an angle of 30° to the horizontal. The component of gravity force parallel to the inclined plane is-

A bullet is fired from a gun. The force on the bullet is given by F = 600 – 2 × 10⁵ t where F is in newton and t in seconds. The force on the bullet becomes zero as soon as it leaves the barrel. What is the average impulse imparted to the bullet?

A body of mass 2 kg is moving with a velocity of 50 m/s. What will be the kinetic energy of the body?

A vehicle having rectilinear motion is moving with a velocity of 36 km/h and accelerates uniformly to 54 km/h over a distance of 125 m. What will be the time taken to cover this distance?

An object starts from rest at x = 0 m and t = 0 s. It moves with a constant acceleration of 2m/s² along the x–axis. What is its average velocity between time 1 s and 5 s?

Which among the following is Not an application of Newton’s third Law of Motion?