One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is___________________?

Related Mcqs:

1. A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is______________________?

   A. 3/4
   B. 4/5
   C. 5/3
   D. 3/5

2. A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec2)______________________?

   A. 15 m/sec
   B. 25 m/sec
   C. 40 m/sec
   D. 50 m/sec

3. If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is___________________?

   A. proportional to A
   B. proportional to A2
   C. proportional to 1/A2
   D. independent of A

4. A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is___________________?

   A. 1.00 m/sec
   B. 1.57 m/sec
   C. 3.14 m/sec
   D. 6.28 m/sec

5. A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is___________________?

   A. 4.5 J
   B. 9.0 J
   C. 12.0 J
   D. 18.0 J

6. A particle moves in a straight line and its position is defined by the equation x = 6 t2 – t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is_________________?

   A. 6 m/sec
   B. 12 m/sec
   C. 24 m/sec
   D. 48 m/sec

7. A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first ?

   A. sphere with greater rotational energy at bottom than cylinder
   B. sphere with lesser rotational energy at bottom than cylinder
   C. cylinder with greater rotational energy at bottom than sphere
   D. both reach the bottom simultaneously with equal rotational energy at bottom

8. A body is dropped from a height of 100 m and at the same time another body is projected vertically upward with a velocity of 10 m/sec. The two particles will____________________?

   A. never meet
   B. meet after 1 sec
   C. meet after 5 sec
   D. meet after 10 sec

9. A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in________________?

   A. 5 sec
   B. 8 sec
   C. 10 sec
   D. 20 sec

10. A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is________________?

    A. (1/3) g sinB
    B. (2/3) g cos 9
    C. (2/3) g sin 0
    D. g sin 9

    where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal