Question:
The average velocity of a particle performing S.H.M. in one complete vibration is ( \(\mathrm{A}=\) amplitude of S.H.M., \(\omega=\) angular velocity)
The average velocity of a particle performing S.H.M. in one complete vibration is ( \(\mathrm{A}=\) amplitude of S.H.M., \(\omega=\) angular velocity)
Show Hint
Average velocity is displacement divided by time and the displacement over a full cycle is zero.
Updated On: Nov 13, 2026
zero
\(\mathrm{A}\omega\)
\(\frac{\mathrm{A}\omega}{2}\)
\(\frac{\mathrm{A}\omega ^{2}}{2}\)
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept
Average velocity \(=\dfrac{\text{total displacement}}{\text{time}}\).
Step 2: One complete vibration
The particle returns to its starting point, so the net displacement is zero.
Step 3: Result
Hence the average velocity is zero.
Final Answer:
The average velocity over one complete vibration is zero. \[ \boxed{\text{(A) }\text{zero}} \]
Average velocity \(=\dfrac{\text{total displacement}}{\text{time}}\).
Step 2: One complete vibration
The particle returns to its starting point, so the net displacement is zero.
Step 3: Result
Hence the average velocity is zero.
Final Answer:
The average velocity over one complete vibration is zero. \[ \boxed{\text{(A) }\text{zero}} \]
Was this answer helpful?
0
0
Top MHT CET Physics Questions
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- A particle moves along a circle of radius ?$r$? with constant tangential acceleration. If the velocity of the particle is ?$?$? at the end of second revolution, after the revolution has started then the tangential acceleration is
- If $M_z$ = magnetization of a paramagnetic sample, $B$ = external magnetic field, $T$ = absolute temperature, $C$ = curie constant then according to Curie�s law in magnetism, the correct relation is
- In a fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $'t'$ second. The frequency of vibration of air column is
- In a parallel plate capacitor, the capacity increases if
View More Questions
Top MHT CET simple harmonic motion Questions
- The equation of a simple harmonic progressive wave is given by $ y = A \,sin \,(100\, \pi t - 3x) $ . Find the distance between $ 2 $ particles having a phase difference of $ \frac{\pi}{3} $ .
- The time period of a particle in simple harmonic motion is 8 second. At t = 0 it is at the mean position. The ratio of the distances travelled by it in the first and second seconds is:
- The graph between the time period and the length of a simple pendulum is
- The path length of oscillation of simple pendulum of length 1 metre is 16 cm. Its maximum velocity is $(g = \pi^2 \, m/s^2)$
- Two particles execute SHM of the same amplitude and frequency along the same straight line. If they pass one another when going in opposite directions, each time their displacement is half their amplitude, the phase difference between them is
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions