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Machine Kinematics Practice Test: Simple Harmonic Motion
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Simple Harmonic Motion topics include: Simple harmonic motion and its equations, velocity and acceleration of particle, simple and compound pendulum, centre of precision, bifilar and trifilar suspension. Simple harmonic motion (SHM) is a type of periodic motion that occurs when an object experiences a restoring force. The magnitude of this force is directly proportional to the object's distance from an equilibrium position, and it acts towards that position.  SHM is characterized by a restoring force that is proportional to the object's displacement. The motion of the object is described by... Show more
Machine Kinematics Practice Test: Simple Harmonic Motion
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25 Questions

1. The periodic time is given by
2. Which of the following is the solution of the differential equation of the SIMPLE HARMONIC MOTION?
3. A sphere of mass 25 Kg is moving at a speed of 1.5 m/s undergoes collision with another sphere of mass 50 Kg moving at 3m/s in the same direction, find the loss of kinetic energy when the collision is inelastic.
4. A helical spring, of negligible mass, and which is found to extend 0.25 mm under a mass of 1.5 kg, is made to support a mass of 60 kg. The spring and the mass system is displaced vertically through 12.5 mm and released. Determine the frequency of natural vibration of the system.
5. Stiffness of the spring can be increased by
6. For a body undergoing Simple Harmonic Motion, the acceleration is maximum at the extreme.
7. A small connecting rod of mass 1.5 kg is suspended in a horizontal plane by two wires 1.25 m long. The wires are attached to the rod at points 120 mm on either side of the centre of gravity. If the rod makes 20 oscillations in 40 seconds, find the radius of gyration of the rod about a vertical axis through the centre of gravity.
8. The frequency of oscillation for the simple pendulum is
9. If the mass moment inertia of the object is increased to 4 times then what will be the effect of time period of the compound pendulum?
10. The periodic time of a compound pendulum is …….. when the distance between the point of suspension and the center of gravity is equal to the radius of gyration of the body about its center of gravity.
11. The strings used in bifilar suspension are perpendicular.
12. When a body moves with simple harmonic motion, the product of its periodic time and frequency is equal to
13. For a body undergoing SIMPLE HARMONIC MOTION, the acceleration is always in the direction of the displacement.
14. A connecting rod of mass 5.5 kg is placed on a horizontal platform whose mass is 1.5 kg. It is suspended by three equal wires, each 1.25 m long, from a rigid support. The wires are equally spaced round the circumference of a circle of 125 mm radius. When the c.g. of the connecting rod coincides with the axis of the circle, the platform makes 10 angular oscillations in 30 seconds. Determine the mass moment of inertia about an axis through its c.g.
15. A sphere of mass 25 Kg is moving at a speed of 1.5 m/s undergoes collision with another sphere of mass 50 Kg moving at 3m/s in the same direction, find the velocity of 25 Kg mass in m/s after collision when the collision is inelastic with e = 0.6.
16. A sphere of mass 25 Kg is moving at a speed of 1.5 m/s undergoes collision with another sphere of mass 50 Kg moving at 3m/s in the same direction, find the velocity of 50 Kg mass in m/s after collision when the collision is elastic.
17. Two concentric springs with stiffness equal to 100 N/mm and 80 N/mm respectively, when subjected to a load of 900 N will deflect by
18. The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by
19. Compound pendulum needs to be spherical in shape.
20. The piston of a steam engine moves with simple harmonic motion. The crank rotates at 120 r.p.m. with a stroke of 2 metres. Find the acceleration of the piston, when it is at a distance of 0.75 metre from the centre.
21. A point moves with SIMPLE HARMONIC MOTION. When this point is 0.75 m away from the mid path, it has a velocity of 11 m/s and when 2 m from the centre of its path its velocity is 3 m/s. Find its angular velocity in rad/s.
22. Bifilar suspension method is used to find the
23. The maximum velocity of a particle moving with simple harmonic motion is
24. The frequency of oscillation of a torsional pendulum is
25. In a squared and ground helical spring the effective number of turns is increased by

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