A particle moves with simple harmonde motion ina straight line. At time t m/s, the velocity is I m/s and the displacement - 0.30 m. Find the amplitude and the period of mo tion ANSWEK O, the acceleration is 3 a - 0.44 m;T-2 sec
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
![terms of the time t. Also find the maximum valua
farad. Find the steady-state solutions of Q and I
JurEmIAKT PRUBLEMS
A A particle moves with simple harmonie motion ina
straight line. At time t 0, the acceleration is 3
m/s, the velocity is I m/s and the displacement b
- 0.30 m. Find the amplitude and the perlod of mo
tion.
ANSWERN
a - 0.44 m; T=2 sec
9. A sinusoidal e.m.f. 110 sin 400t volts is connected
series in a circuit with an inductance of 0.1 henry, a
sistance of 10 ohms, and a capacitance of 250(1
farad. Find the steady-state solutions of Q and
terms of the time t. Also find the maximum valun
the steady-state charge and current.
Q=- 0.00275(3 sin 400t + cos 400t)
I- 1.10(sin 400t - 3 cos 400t)
= 0.0087 coul.
9.
Qmax
Imax
= 3.48 amp.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6d2d271-2b66-4eeb-8d32-16876fe2b174%2Fb476ef7f-d54e-4bdf-93b4-54a348d62549%2Fy1m9mrj_processed.jpeg&w=3840&q=75)
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