1.

Two masses m_(1) and m_(2)are suspended w together by a light spring of spring constant k as shown in figure. When the system is in equilibrium, the mass m_(1)is removed without disturbing the system. As a result of this removal, mass m_(2) performs simple harmonic motion. For this situation mark the correct statement(s).

Answer»

The amplitude of osciallation is `(m_(1)g)/k`
The amplitude of oscillations is `((m_(1) + m_(2))g)/k`
The system oscillates with ANGULAR frequency `sqrt(k/m_(2))`
The system oscillates with angular frequency `sqrt(k/(m_(1)+m_(2)))`

Solution :When both the blocks are connected then in EQUILIBRIUM position, the elongation in spring is given by:
`y_(0) =((m_(1) + m_(2))g)/k`

In equilibrium position, for resulting oscillation after removal of `m_(1)`, elongation in spring is:
`y_(1) =(m_(2)g)/k`
So, amplitude of oscillations is,
`y_(0)-y_(1) =(m_(1)g)/k`
TIME period of simple harmonic motion is,
`T =2pi sqrt(m_(2)/k) rArr OMEGA = sqrt(k/m_(2))`


Discussion

No Comment Found

Related InterviewSolutions