Engineering Mec...

A bullet of mass 1 kg if fired with a velocity of u m/s from a gun of mass 10 kg. The ratio of kinetic energies of bullet and gun is

The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis is.

The principle of virtual work states that, for a body to be in equilibrium, the virtual work should be:

A flywheel of mass 8 tonnes starts from rest and gets up a speed of 180 r.p.m. in 3 minutes. Find the torque (in Nm) exerted on it, if the radius of gyration of the flywheel is 60 cm.

A man of mass 650 N dives vertically downwards into a swimming pool from a tower of height 25 meter. He was found to go down in water by x meter and then started rising. If the average resistance offered by the water against rising of man is 7300 N, then the value of x is

In an IPL match between MI and RCB, Chahal bowled a full toss delivery to Rohit, Rohit pulled it away for a maximum. The mass of the ball is 160 gms and the mass of the Rohit’s bat is 1.5 kg. The speed of ball is 90 kmph just before the hit and 144 kmph just after the hit. The bat swing speed just before hitting the ball is 54 kmph and the ball is in contact with the bat for 3 ms.

A Train of length 500 m is travelling in 30° north east direction with a uniform acceleration of 0.2 m/s² and at t = 0, it has a speed of 54 kmph. At the same time (t = 0), a Benz car started from different location from rest and travelling in east direction with a uniform acceleration of 0.4 m/s². At t = 25 sec, a passenger sitting in Benz observed the train on his left side.

(Assume the angle is measured from east direction)

Two objects P and Q are travelling horizontally with velocity of 8 m/sec and 6 m/sec form left to right. They are separated by a distance of 15 m. The mass of the objects are 3 kg and 5 kg. If the coefficient of restitution is 0.7 what is the velocity (m/s) of P and Q after impact and when (seconds) and where (metres) will they impact with respect to initial positioning of Q. The corresponding answers are respectively

The motion of a particle moving along a curve is defined by y = x³- 3x + 150, starting with an initial velocity of \(\overrightarrow {{V_0}} = 3\hat i - 14\hat j\) m/s. If V_x is constant, then which of the following statements are true at x = 5 m?