26. A rectangular plate of sides a and b is suspended from a ceiling by two parallel strings of length L each (figure 12-E11). The separation between the strings is d. The plate is displaced slightly in its plane keeping the strings tight. Show that it will execute simple harmonic motion. Find the time period. a b Figure 12-E11

A rectangular plate of sides a and b is suspended from a ceiling by two parallel strings of length L each in the figure. The separation between the strings is d. The plate is displaced slightly in its plane keeping the strings tight. Show that it will execute harmonic motion. Find the time period.

A rectangular plate of sides a and b is suspended from a ceiling by two parallel strings of length L each in the figure. The separation between the strings is d. The plate is displaced slightly in its plane keeping the strings tight. Show that it will execute harmonic motion. Find the time period.

A rectangular plate of sides a and b is suspended fropm a ceilling by two parallel strings of length L each figure. The separation between the strings is d. The plate is displaced slightly in its plane keeping the strings tight. Show that it will execute harmonic motion. Find the time period.

Two spheres, each having mass m are suspended from a common point by two insulating strings of length l. The spheres are identically charged and the separation between the spheres is 'd' . Find the charge on each sphere.

A magnetic dipole of magnetic moment M is suspended by a string in a uniform horizontal magnetic field as showo in figure. If in horizontal plane this dipole is slightly tilted and released, show that it will execute simple harmonic motion and find its oscillation period. Consider the dipole as a uniform rod of mass m and length I.

The simple pendulum of the previous problem is placed in uniform electric field E , directed horizontally. Find the angle made by string with vertical in equilibrium and tension in the string . Now the ball is slightly displaced and it exceutes simple harmonic motion, find its time period of oscillation.

The plates of the parallel plate capacitor have plate area A and are clamped in the laboratory as shown in figure. The dielectric slab of mass m, length 2l and width 2l is released from rest with length l inside the capacitor. Neglecting any effect of friction or gravity, show that the slab will execute periodic motion and find its time period. (plates of capacitor are square plates of side 2l)