(a) E
(b) 2E
(c) √ 2E
(d) E/2
Q 2. A particle is executing linear SHM of amplitude A. What fraction of total energy is potential when the displacement is 1/4 times amplitude.
(a) 3/2
(b) 1/16
(c) 1/4
(d) 1/2√ 2
Q 3. Fig below shows two spring mass systems. All the springs are identical having spring constant k and are of negligible mass. If m is the mass of block attached to the spring then the ratio of time period of oscillations of both systems is
(a) 1:2√ 2
(b) 1:1/2√ 2
(c) 1:√ 2
(d) √ 2:1
Q 4. Fig below shows two equal masses of mass m joined by a rope passing over a light pully. First mass is attached to a spring and another end of spring is attached to a rigid support. Neglacting frictional forces total energy of the system when spring is extended by a distance x is
(a) mv2+1/2(Kx2)+mgx
(b) mv2-1/2(Kx2)+mgx
(c) mv2-1/2(Kx2)-mgx
(d) mv2+1/2(Kx2)-mgx
where v = dx/dt , the velocity of mass
Q 5. A spring of force constant k is cut into two pieces such that one piece is four times the length of the other. the longer piece will have force constant equal to
(a) 4k/5
(b) 5k/4
(c) 3k/2
(d) 4k
Q 6. In the system shown below frequency of oscillation when mass is displaced slightely is
(a) f=1/2π(k1k2/(k1+k2)m)1/2
(b) f=1/2π((k1+k2)/m)1/2
(c) f=1/2π(m/(k1k2))1/2
(d) f=1/2π((k1+k2)/(k1k2)m)1/2
Q 7. A simple pendulum is displaced from it's mean position o to a position A such that hight of A above O is 0.05m. It is then released it's velocity when it passes mean position is
(a) .1m/s
(b) 5.0m/s
(c) 1m/s
(d) 1.5m/s
Q 8. A particle is executing SHM at mid point of mean position and extreme position . What is it's KE in terms of total energy E.
(a) E/2
(b) 4E/3
(c) √ 2E
(d) 3E/4
Q 9. A solid cylinder of radius r and mass m is connected to a spring of spring constant k and it slips on a frictionless surface without rolling with angular frequency
(a) √(k/mr)
(b) √(kr/m)
(c) √(k/m)
(d) √(2k/m)
Solutions
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