Recently Active Miscellaneous Questions

find x such that limit as n-> infinity {n!x} exists ...

lim sin(1/x) x->0 tan(1/x) ...

Which of these could best denote the rate of milking a cow by the traditional milkman. ...

Water is emptied from a spherical shaped container into a cylindrical one. The cylinder is placed with its flat surface on the bottom. The water flows from the sphere through a small orifice. What is the ratio of the rate of ...

If Kinetic energy of a particle changes at a rate 1 % , what is the rate of change of momentum. Assume mass to remain the same. ...

Two men are carrying a rod at two ends each.Then a man suddenly leaves his support to the rod so that rod starts to swing down resting on the other man's shoulder.Find the ratio of load experienced by the man before and a ...

Three projectiles are fired from the same point at the same time with different velocity vectors. The area of the triangle formed by the three particles at any time t is proportional to ...

A rod of length L hinged at the base is allowed to fall down freely. What is the rotational speed at which it strikes the ground ? ...

Two projectiles are fired simultaneously from the same point with diffrent velocities and different angles.The path of one projectile when seen from another is ...

What will be the approximate location of centre of mass of a circular disk if the density increases linearly with distance from centre. ( ρ = kr) ? ...

A drunkard walks 6 steps forward and then 4 steps backward.Each step takes 1 second and is of length 1 m. If there is a pit at a distance 16 m , how long he will take to fall in the pit ? ...

What is the range of the ball with respect to the plate.(In other words find the distance on the plate where the ball lands again). ...

What is the velocity acquired by the plate immediately after rebounce of the ball? ...

lim [x] + lim {x} x->n- {x} x->n+ [x] where n is an integer, n>0 ...

In the previous question, What is the impulse delivered friction on the ball when it rebounds ? ...

A ball of mass m is given an initial rotation w as shown and allowed to fall from a height h on a rough plate of mass M which rests on a smooth surface.The friction coefficient between the ball and the plate is μand the coef ...

f(x) = tan x+sec x + cosx g(x) = sec2x + secx. tan x - cos x h(x)= (df/dx)/g(x) find h(0)-h(pi/2) ...

Imagine a mechanism by which you can compress and hence vary the internal radius of a ring.In other words , you can make the internal periphery get close or away from the outer periphery.(R ≠r) Statement I - Increasing the ...

Refer Question 15 ...

Statement I - A bullet of mass m strikes the lower end of a vertically hanging rod of mass M and length L as a resullt of which it sticks to it.Angular momentum of the system abt the hinge remains conserved but linear momentu ...

Refer Question 15 ...

Refer Question 15 ...

For the questions Match the columns in 15, 16, 17, 18 15) |x|, a=-1/2, b=1 16) x3, a=-1,b=1 17) sin(cosx), a=0, b=Ï€/2 18) sin(tan x),a=0, b=Î /2 ...

statement I - Direction of friction force on a ball rolling on a horizontal plane will be backwards. statement II - In case of pure rolling the translational velocity of bottom most point of the ball equals radius times the r ...

In a two dimensional oblique elastic collision between two balls ...

Which is the correct definition of power ? Symbols carry their usual meanings. ...

A projectile bursts in mid-air into fragments. The conservation of linear momentum can be applied at ...

Multiple Correct answers 34-37 *Image* A block of mass 5 kg is kept at rest on a rough vertical wall by applying a force 100 N onto it.Take g =10 m/s2 .Then, ...

*Image* Block 1 kg is given an initial velocity 1 m/s towards right.If the location of 1 kg block at any time is given as x1 = 3t + sin t then what is the velocity of block 2 kg as a function of t ? ...

*Image* Initially the balance is held in a horizontal position and then it is released. In which direction the balance will tilt ? ...