List of top Physics Questions on Mechanics asked in LPUNEST

A uniform rod of length \(L\) and mass \(3m\) is held vertically hinged at its base. A mass \(m\) moving horizontally with velocity \(v\) strikes the rod at the top and sticks to it. The angular velocity with which the rod hits the ground is:
Moment of inertia of a thin rod of mass \(M\) and length \(L\) about an axis passing through its centre is \(\dfrac{ML^2}{12}\). Its moment of inertia about a parallel axis at a distance of \(\dfrac{L}{4}\) from this axis is given by:
For the following question, enter the correct numerical value up to TWO decimal places. If the numerical value has more than two decimal places, round-off the value to TWO decimal places. (For example: Numerical value 5 will be written as 5.00 and 2.346 will be written as 2.35) A particle is thrown with velocity \( u \) making angle \( \theta \) with vertical. It just crosses the top of two poles each of height \( h \) after 1 s and 3 s respectively. The maximum height of the projectile is _____
A particle is released from a height \(H\). At a certain height its kinetic energy is two times its potential energy. Height and speed of the particle at that instant are:
A ladder of length \(l\) and mass \(m\) is placed against a smooth vertical wall, but the ground is rough. The coefficient of friction between the ground and the ladder is \(\mu\). The angle \(\theta\) at which the ladder will stay in equilibrium is:
A solid sphere and a solid cylinder of the same mass are rolled down two inclined planes of heights \(h_1\) and \(h_2\). If at the bottom of the planes the two objects have the same linear velocity, then the ratio \(h_1:h_2\) is:
A balloon of mass \(M\) is descending with a constant acceleration \(\alpha\). When a mass \(m\) is released from the balloon, it starts rising with the same acceleration \(\alpha\). Assuming that the volume of the balloon does not change, the value of \(m\) is:
A cubical block of side \(a\) is moving with velocity \(v\) on a horizontal smooth plane as shown in the figure. It hits a ridge at point \(O\). The angular speed of the block after it hits \(O\) is:
A particle of mass \(m = 5\) units is moving with a uniform speed \(v = 3\sqrt{2}\) units in the \(x\!-\!y\) plane along the line \(y = x + 4\). The magnitude of angular momentum about the origin is:
A non-uniform rod \(AB\) of weight \(w\) is supported horizontally in a vertical plane by two light strings \(PA\) and \(PB\) as shown in the figure. \(G\) is the centre of gravity of the rod. If \(PA\) and \(PB\) make angles \(30^\circ\) and \(60^\circ\) respectively with the vertical, the ratio \(\dfrac{AG}{GB}\) is:
If \(I_1\) is the moment of inertia of a thin rod about an axis perpendicular to its length and passing through its centre of mass and \(I_2\) is the moment of inertia of the ring about an axis perpendicular to the plane of the ring and passing through its centre, formed by bending the rod, then:
A bullet of mass 50 g is fired from a gun of mass 2 kg. If the total kinetic energy produced is 2050 J, the energy of the bullet and the gun separately are: