In the figure shown a plate of mass 60 g is at rest and in equilibrium. A particle of mass is released from height 4.5 mg/k from the plate. The particle sticks to the plate. Neglecting the duration of collision find the time from the collision of the particle and plate to the moment when the spring has maximum compression. Spring has force constant 1 N/m. Calculate the value of time in the form and find the value of
In the figure shown a plate of mass 60 g is at rest and in equilibrium. A particle of mass is released from height 4.5 mg/k from the plate. The particle sticks to the plate. Neglecting the duration of collision find the time from the collision of the particle and plate to the moment when the spring has maximum compression. Spring has force constant 1 N/m. Calculate the value of time in the form and find the value of
(5)
Velocity of the particle before collision
Now it collides with the plate Now just after collision velocity of the system of ‘plate+ particle’ Now the system performs SHM with time period and mean position as Distance below the point of oscillation Let the equation of motion is At From Eqs. (i) and (ii) From Eqs. (iii) and (iv) Hence equation of SHM should be The plate will be at rest again when Using value,
