A book with many printing errors contains four different formulas for the displacement y of a particle undergoing a certain periodic motion :- `y=a sin 2pi t//T` (a = maximum displacement of the particle, v = speed of the particle. T= time-period of motion). Rule out the wrong formulas on dimensional grounds.

A book with many printing errors contains four different formulas for the displacement y of a particle undergoing a certain periodic motion :- y=(a//T)sin t//a (a = maximum displacement of the particle, v = speed of the particle. T= time-period of motion). Rule out the wrong formulas on dimensional grounds.

A book with many printing errors contains four different formulas for the displacement y of a particle undergoing a certain periodic motion :- y=a sin vt (a = maximum displacement of the particle, v = speed of the particle. T= time-period of motion). Rule out the wrong formulas on dimensional grounds.

A book with many printing errors contains four different formulas for the displacement y of a particle undergoing a certain periodic motion :- y=(asqrt2)(sin2pit//T+cos2pit//T) (a = maximum displacement of the particle, v = speed of the particle. T= time-period of motion). Rule out the wrong formulas on dimensional grounds.

The displacement of a particle is represented by the equations y = 3 cos (pi/4 - 2omegat) . The motion of the particle is

Define displacement of a particle in linear motion in one dimension. Does it depend upon the origin? Can actual distance travelled by object in the time interval t to t' be greater than or equal to the magnitude of the displacement?

The displacemnt of a particle inS.H.M. may be given by y = r sin (omegat + phi_0) . Show that if the time t is increased by (2pi)/omega the value of y remains unchanged.

Fig. 14.23 depicts four x t plots for linear motion of a particle. Which of the plots represent periodic motion? What is the period of motion (in case of periodic motion)