Find the period of small oscillations of a mathematical pendulum of length `l` if its point of suspension `O` moves relative to the Earth's surface in an arbitrary directio with a constant acceleration `w` (figure). Calculate that period if `l=21 cm, w=g//2, ` and the angle between the vectors `w` and `g` equals `beat =120^(@)`.

Find the period of oscillation of a pendulum of length l if its point of suspension is (a) moving vertically up with acceleration a (b) moving vertically down with acceleration a(lt g) (c) failing freely under gravity moving horizontal with acceleration a .

Find the period of oscillation of a pendulum of length l if its point of suspension is (a) moving vertically up with acceleration a (b) moving vertically down with acceleration a(lt g) (c) failing freely under gravity moving horizontal with acceleration a .

The period of small oscillations of a simple pendulum of length l if its point of suspension O moves a with a constant acceleration alpha = alpha_(1)overset(wedge)(i) - alpha_(2)overset(wedge)(j) with respect to earth is ( overset(wedge)(i) and overset(wedge)(j) are unit vectors in horizontal in horizontal and vertically upward directions respectively)

The period of small oscillations of a simple pendulum of length l if its point of suspension O moves a with a constant acceleration alpha = alpha_(1)overset(wedge)(i) - alpha_(2)overset(wedge)(j) with respect to earth is ( overset(wedge)(i) and overset(wedge)(j) are unit vectors in horizontal in horizontal and vertically upward directions respectively)

The period of small oscillations of a simple pendulum of length l if its point of suspension O moves a with a constant acceleration alpha = alpha_(1)overset(wedge)(i) - alpha_(2)overset(wedge)(j) with respect to earth is ( overset(wedge)(i) and overset(wedge)(j) are unit vectors in horizontal in horizontal and vertically upward directions respectively)

The time period T of oscillation of a simple pendulum of length l is given by T=2pi. sqrt((l)/(g)) . Find the percentage error in T corresponding to 2% in the value of l.

The period of a conical pendulum in terms of its length (l) , semivertical angle ( theta ) and acceleration due to gravity (g) is