Engineering Mec...

If the coefficient of kinetic friction between block B and floor is 0.2, what is acceleration of system, in m/s², as shown in figure, is _____ (Take g = 10 m/s² , B = 1500 N and A = 1000 N)

A body moves with a speed of 10 m/s in the curved path of 25 m radius of curvature. If the tangential acceleration is 3 m/s², then total acceleration for the body will be:

A 1kg block is resting on a surface with co effcient of friction, µ = 0.1. A force of 0.8N is applied to the block as shown in figure. The friction force in Newton is

During inelastic collision of two particles, which one of the following is conserved ?

The CG of a semicircular plate of 66 cm diameter, from its base, is

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

A particle starts from rest and moves in a straight line whose equation of motion is given by S = 2t³ - t² - 1. The acceleration of the particle after one second will be-

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.

The ratio of moment of inertia of a circular plate to that of a square plate for equal depth is

A rubber ball is thrown vertically upward with a velocity u from the top of a building. It strikes the ground with a velocity 3u. The time taken by the ball to reach the ground is given by:

The resultant of two equal forces P making an angle θ, is given by

Moment of inertia of a circular section about an axis perpendicular to the section is

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 block of mass 20 kg lying on a rough horizontal plane is connected by a light string passing over a smooth pulley to another mass 5 kg, which can move freely in the Vertical direction, as shown in the below figure. The tension in the string will ___________ with the increase in coefficient of friction.

The skidding away of the vehicle on a level circular path can be avoided if the force of friction between the wheels and the ground is __________ the centrifugal force.

The angle between two forces when the resultant is maximum and minimum respectively are

A block weighting 100 N is resting on a plane inclined with horizontal as shown in Fig. What horizontal force P is necessary to hold the body from sliding down the plane? (Coefficient of friction can be taken as 0.25)

The efficiency of a lifting machine is the ratio of

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?