Classical Mechanics MCQs Question and Answer in Engineering Physics

A particle constrained to move along the X-axis in a potential V = kx², is subjected to an external time dependent force $$\overrightarrow {\bf{F}} \left( t \right).$$  Here, k is a constant, x, the distance from the origin and t is the time. At some time T, when the particle has zero velocity at x = 0, the external force is removed. The particle will

A system of four particles is in X-Y plane of these two particles of masses m are located at (1, 1) and (-1, 1). The remaining two particles each of mass 2m are located at (1, 1) and (-1, -1). The xy component of moment of inertia tensor of the system of particles is

A particle of mass m is constrained to move on the plane curve xy = c (c > 0) under gravity (Y-axis vertical). The Lagrangian of the particle is given by

An electron gains energy so that its mass becomes 2m₀. Its speed is

Let (p, q) and (P, Q) be two pairs of canonical variables. The transformation Q = q^α cos βp, P = q^α sin βp is canonical for

Two bodies of masses m and 2m are connected by spring constant, the frequency of normal mode is

A heavy symmetrical top is rotating about its own axis of symmetry (Z-axis). If $${I_1},\,{I_2}$$  and $${I_3}$$ are the principal moments of inertia along X, Y and Z axes respectively then

A hoop is pivoted at a point on circumference. The period of small oscillations in the plane of loop is

The Lagrangian of a system is given by $$L = \frac{1}{2}{\dot q^2} + q\dot q - \frac{1}{2}{q^2}$$
It describes motion of a

A particle of mass M moving in a straight line with speed v collides with a stationary particle of the same mass. In the centre of mass coordinate system, the first particle is deflected by 90°. The speed of second particle after collision in laboratory system will be