When a pendulum is raised and then released, it will ? rise...

When a pendulum is raised and then released, it will ? rise above the height from which it was originally released. ? return to the height from which it was originally released. ? it will reach maximum speed at the top of its swing. ? rise to a lower height from which it was originally released.

Transcript

00:01 Hi, here in this given problem there are two different questions.

00:06 Actually the questions are different but both of them are based upon a simple pendulum.

00:13 Question number one.

00:15 In it, this is the string of the simple pendulum which is tilted to one side such that the string makes an angle theta.

00:34 With a vertical where the value of this angle is 37 .9 degree length of the string l this is given as 1 .17 meter so when it is shifted to the side the vertical height raised by it means h that will be given by total length l minus this component of the length here the component along angle this is given as l cost theta using vector so using energy conservation at the highest point at the bottom most point energy conservation means conservation of mechanical energy kinetic energy at the bottom most point half mv square will be equal to gravitational potential energy at the highest point so we get an expression for the speed gained by the simple pendulum bob of the simple pendulum and that is square root of 2g or we can say this is square root of 2g l bracket 1 minus cost theta so plugging in all the known values here this is v is equal to square root of two times of g means 9 .8 into length 1 .17 bracket 1 minus cosine of 37 .9 degree and it is calculated to be equal to square root of 4 .8 367 meter per second and finally it comes out to be equal to 2 .8 0 .20 meter per second answer for this question number one here and it is clear that this is the option 4 which is correct here.

03:04 Then in the second question this time we do not let the ball come to the bottom most point.

03:18 We held it at some other angle means in this problem, initially.

03:24 The initial angle up to which the bob is shifted that was given as 44 .9 degree and the angle at which we have to find the speed of the bob that is given as 22 .5 degree...

Question

When a pendulum is raised and then released, it will ? rise above the height from which it was originally released. ? return to the height from which it was originally released. ? it will reach maximum speed at the top of its swing. ? rise to a lower height from which it was originally released.

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