Question

Firstly, the bob of a given pendulum is stroked gently and after that, it is stroked
with fierce force, will the time periods of the pendulum be the same in both conditions? Explain.​

Answer 1

Answer- Yes

Explanation- Time period depends on height attained by the bob after getting hit by a force.

In 1st condition - the force exerted on bob is small so, after applying law of conservation of energy bob attain a height which is less.

then, time period of bob is also LESS.

In 2nd condition - the force exerted on bob is large so, after applying law of conservation of energy bob attain a height which is greater than the previous one.

then, time period of bob also INCREASES.

T=√2H/g

LOCE=> 1/2mv^2 = mgh

Answer 2

Simple Pendulum hanging with a force and perpetually decreases

A simple setup could be a system that consists of a light-weight none tensile string and a tiny low bob of some mass that is created to oscillate concerning its mean position from left extreme to right extreme.If the displacement of the bob is little as compared to the length of the string or the angle displaced is little then the motion may be thought of to be easy periodic motion.The total energy remains constant throughout the oscillation. The mechanical energy is most at the mean position whereas the P.E. is most at the acute positions.The compound pendulum could be a system during which a rigid body is hinged and suspended from a degree. For the compound pendulum, we have a tendency to write the torsion equation rather than force because it performs angular SHM.The period of time T for an easy setup doesn't rely upon the mass or the initial angular displacement however depends solely on the length L of the string and therefore the price of the acceleration because of gravity.If the effective gravitative acceleration is modified the period of time of the oscillation additionally changes.It is attention-grabbing to notice that the oscillation of an easy setup will solely be thought of to be an easy periodic motion once the oscillation or the amplitude of oscillation is extremely small as compared to 2 lengths of the string then by mistreatment small-angle approximation the motion of an easy setup is taken into account an easy periodic motion.When the bob is displaced by some angle then the setup starts the motion and for tiny price of angle of displacement the motion is easy periodic motion with the angular displacement of the bob.

Thus the angular frequency is given by,

$w^{2} = \frac{g}{l}$

The time period of the pendulum is given by,

T = $\frac{2pi}{w}$

T = 2pi $\sqrt{\frac{l}{g} }$

Thus from the expression for a period of time of an easy setup, we will infer that the of your time doesn't rely upon the mass of the Bob at nor varies with the modification within the tiny amplitude of the oscillation it solely depends on the length of the string and acceleration because of this property it had been wide accustomed keep a track of fastened interval of time will it helped the musicians to air beats

Simple Pendulum Application

• Simple setups are utilized in clocks because the pendulum includes a fastened of your time they'll be accustomed keep a track of time. Following are example of an easy pendulum:

• Pendulums may be used as pendulum.

• Pendulums are accustomed calculate acceleration because of gravity.

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