The angle made by the string of a simple pendulum with the vertical depends on time as Find the length of the pendulum if g = π² ms^-2.

A uniform plate of mass M stays horizontally and symmetrically on two wheels rotating in opposite directions (figure 12-E16). The separation between the wheels is L. The friction coefficient between each wheel and the plate is t. Find the time period of oscillation of the plate if it is slightly displaced along its length and released.

A pendulum having time period equal to two seconds is called a seconds pendulum. Those used in pendulum clocks are of this type. Find the length of a seconds pendulum at a place where g = π² m s^-2.

The pendulum of a certain clock has time period 2.04 s. How fast OF Blow does the clock run during 24 hours?

A pendulum clock giving correct time at a place where g = 9.800 m s^-2 is taken to another place where it loses 24 seconds during 24 hours, Find the value of g at this new place.