Classical Mechanics - Study Mode
[#1] A mass m is constrained to move on a horizontal frictionless surface. It is set in circular motion with radius r 0 and angular speed ω 0 by an applied force $$overrightarrow {x08f{F}} $$ communicated through an inextensible thread that passesthrough a hole on the surface as shown in figure given below. Then, this force is suddenly doubled. The magnitude of the radial velocity of the mass
Correct Answer
(D) becomes zero at radius r 1 , where 0 < r 1 < r 0
[#2] The speed of a particle whose kinetic energy is equal to its rest mass energy, is given by (c is the speed of light in vacuum)
Correct Answer
(D) $$frac{{sqrt 3 }}{2}c$$
[#3] The Hamiltonian corresponding to the Lagrangian $$L = a{{dot x}^2} + b{{dot y}^2} - kxy$$ xa0 xa0 is
Correct Answer
(C) $$frac{{{p_x}^2}}{{4a}} + frac{{{p_y}^2}}{{4b}} + kxy$$
[#4] A particle is moving in an inverse square field. If the total energy of the particle is positive, then trajectory of particle is
Correct Answer
(C) parabolic
[#5] An object of mass m rests on a surface with coefficient of static friction μ. Which of the following is not correct?
Correct Answer
(B) The maximum force of friction is μmg