Two bodies with masses `m_(1)` = 1kg and `m_(2)`= 2kg are connected by a spring of force constant `k=24Nm^(-1)`. The left ball is imparted an initial velocity `v_(0)`=12 cm/s. Find (a) the frequency of the oscillations (b) the energy and the amplitude of the osciallations.

Two balls with masses m_(1)=1.0 kg and m_(2)=2.0 kg are slipped on a thin smooth horizontal rod ( figure ) . The balls are interconnected by a light spring of stiffness x=24 N//m . The left- hand ball is imparted the initial velocity v_(1)=12 cm//s . Find : (a) the oscillation frequency of the system in the process of motion, (b) the energy and the amplitude of oscillations

Two blocks of masses m_(1) =1kg and m_(2) = 2kg are connected by a spring of spring constant k = 24 N/m and placed on a frictionless horizontal surface. The block m_(1) is imparted an initial velocity v_(0) = 12cm/s to the right. The amplitude of osciallation is

Two masses m_(1)=1.0 kg and m_(2)=0.5 kg are suspended together by a massless spring of force constant, k=12.5 Nm^(-1) . When they are in equillibrium position, m_(1) is gently removed. Calculate the angular frequency and the amplitude of oscillation of m_(2) . Given g=10 ms^(-2) .

Two balls with masses m_(1) =1kg and m_(2) = 2kg are slipped on a thin smooth horizontal rod as shown. The balls are interconnected by a light spring of stiffess K = 24N//m . The left hand ball (m_(1)) is imparted the initial velocity 12cm//s towards second ball. the amplitude of oscillations made by the arrangement is............

Two blocks of masses m_1 and m_2 are connected by a spring of spring constant k figure. The block of mass m_2 is given a shapr imulse so that it acquires a velocity v_0 twoards right. Find a. the velocity of the cenre of mas b. the maximum elongation that teh spring will suffer.

Two masses m_(1) = 1kg and m_(2) = 0.5 kg are suspended together by a massless spring of spring constant 12.5 Nm^(-1) . When masses are in equilibrium m_(1) is removed without disturbing the system. New amplitude of oscillation will be

Two mass m_(1) and m_(2) are suspended from a massless spring of force constant k. When the masses are in equilibrium, m_(1) is removed without disturbing the system. Find the angular frequency and amplitude of oscillations.

A body of mass 16 kg is made to oscillate on a spring of force constant 100 N kg^(-1) . Deduce the angular frequency.

Two rigid bodies A and B of masses 1 kg and 2 kg respectively are rigidly connected to a spring of force constant 400 Nm^(-1) . The body B rests on a horizontal table. From the rest position , the body A is compressed by 2 cm and then released . Deduce (i) teh frequency of oscillation, (ii) total oscillation energy, (iii) the amplitude of the harmonic vibration of the reaction of the table on body B.

Two masses m_(1) and m_(2) are suspended from a spring of spring constant 'k'. When the masses are in equilibrium, m_(1) is gently removed. The angular frequency and amplitude of oscillation of m_(2) will be respectively