MCQOPTIONS
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MCQOPTIONS
This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Machine Kinematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Which of the following is the solution of the differential equation of the SIMPLE HARMONIC MOTION? |
| A. | x = Acos t + B sin t |
| B. | x = (A+B)cos t |
| C. | x = (A+B)sin t |
| D. | x = Atan t + B sin t |
| Answer» B. x = (A+B)cos t | |
| 2. |
For a body undergoing Simple Harmonic Motion, the acceleration is maximum at the extreme. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 3. |
Which of the following is the correct differential equation of the SIMPLE HARMONIC MOTION? |
| A. | d<sup>2</sup>x/dt<sup>2</sup> + <sup>2</sup>x = 0 |
| B. | d<sup>2</sup>x/dt<sup>2</sup> <sup>2</sup>x = 0 |
| C. | d<sup>2</sup>x/dt + <sup>2</sup>x = 0 |
| D. | d<sup>2</sup>x/dt <sup>2</sup>x = 0 |
| Answer» B. d<sup>2</sup>x/dt<sup>2</sup> <sup>2</sup>x = 0 | |
| 4. |
If V is the maximum velocity of a body undergoing SIMPLE HARMONIC MOTION, then what is the average velocity of motion? |
| A. | 2V/ |
| B. | 4V/ |
| C. | V/2 |
| D. | 2V/3 |
| Answer» B. 4V/ | |
| 5. |
If V is the maximum velocity of a body undergoing SIMPLE HARMONIC MOTION, then what is the average velocity of motion from one extreme to other extreme is? |
| A. | 2V/ |
| B. | 4V/ |
| C. | V/2 |
| D. | 2V/3 |
| Answer» B. 4V/ | |
| 6. |
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 maximum acceleration in m/s2. |
| A. | 61.1 |
| B. | 67.2 |
| C. | 51.3 |
| D. | 41.4 |
| Answer» C. 51.3 | |
| 7. |
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 time period in s. |
| A. | 1.1 |
| B. | 1.2 |
| C. | 1.3 |
| D. | 1.4 |
| Answer» B. 1.2 | |
| 8. |
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. |
| A. | 5.7 |
| B. | 7.5 |
| C. | 6.7 |
| D. | 7.6 |
| Answer» B. 7.5 | |
| 9. |
The piston of an engine moves with SIMPLE HARMONIC MOTION. The crank rotates at a speed of 120 r.p.m. with a stroke of 2 metres. Find the velocity of the piston in m/s2, when it is at a distance of 0.75 metre from the centre. |
| A. | 118.46 |
| B. | 117.33 |
| C. | 128.41 |
| D. | 119.02 |
| Answer» B. 117.33 | |
| 10. |
The piston of an engine moves with SIMPLE HARMONIC MOTION. The crank rotates at a speed of 120 r.p.m. with a stroke of 2 metres. Find the velocity of the piston in m/s, when it is at a distance of 0.75 metre from the centre. |
| A. | 8.31 |
| B. | 7.33 |
| C. | 8.41 |
| D. | 9.02 |
| Answer» B. 7.33 | |
| 11. |
The maximum displacement of the body under Simple Harmonic Motion from its mean position is known as_______ |
| A. | Amplitude |
| B. | Frequency |
| C. | Time period |
| D. | Range |
| Answer» B. Frequency | |
| 12. |
For a body undergoing SIMPLE HARMONIC MOTION, the acceleration is always in the direction of the displacement. |
| A. | True |
| B. | False |
| Answer» C. | |
| 13. |
By how much angle in degrees does the velocity leads the displacement in a body undergoing SIMPLE HARMONIC MOTION? |
| A. | 90 |
| B. | 45 |
| C. | 180 |
| D. | 0 |
| Answer» B. 45 | |