with the above initial conditions. . A spring balance has a scale that reads from to kg. The length of the scale is cm.
A body suspended from this balance, when displaced and released, oscillates with a period of . s. What is the weight of the body ? .
A spring having with a spring constant N m – is mounted on a horizontal table as shown in Fig. . . A mass of kg is attached to the free end of the spring.
The mass is then pulled sideways to a distance of . cm and released. Fig. .
Determine (i) the frequency of oscillations, (ii) maximum acceleration of the mass, and (iii) the maximum speed of the mass. . In Exercise . , let us take the position of mass when the spring is unstreched as x = , and the direction from left to right as the positive direction of x -axis.
Give x as a function of time t for the oscillating mass if at the moment we start the stopwatch ( t = ), the mass is at the mean position, at the maximum stretched position, and at the maximum compressed position. In what way do these functions for SHM differ from each other, in frequency, in amplitude or the initial phase? . Figures .
correspond to two circular motions. The radius of the circle, the period of revolution, the initial position, and the sense of revolution (i.e. clockwise or anti-clockwise) are indicated on each figure. Fig.
. Obtain the corresponding simple harmonic motions of the x -projection of the radius vector of the revolving particle P, in each case. . Plot the corresponding reference circle for each of the following simple harmonic motions.
Indicate the initial ( t = ) position of the particle, the radius of the circle, and the angular speed of the rotating particle. For simplicity, the sense of rotation may be fixed to be anticlockwise in every case: ( x is in cm and t is in s ). x = – sin ( t +