A 1 kg block is executing simple harmonic motion of amplitude 0.1 m on a smooth horizontal surface under the restoring force of a spring of spring constant 100 N/m. A block of mass 3 kg is gently placed on it at the instant it passes through the mean position. Assuming that the two blocks move together. Find the amplitude of the motion?
0.5m
0.05m
5m
0.02m
A
0.02m
B
5m
C
0.05m
D
0.5m
Open in App
Solution
Verified by Toppr
f=12π√kmcombinedmass=12π√1004=2.5π=0.8 Hz with 1 kg mass, f0=12π√1001=5π Hz Further, from conservation of linear momentum (at mean position) ωA=14ω0A0 or fA=14f0A0 or A=f0A04f−(5/π)(0.1)(4)(2.5/π) =0.05m
Was this answer helpful?
16
Similar Questions
Q1
A 1 kg block is executing simple harmonic motion of amplitude 0.1 m on a smooth horizontal surface under the restoring force of a spring of spring constant 100 N/m. A block of mass 3 kg is gently placed on it at the instant it passes through the mean position. Assuming that the two blocks move together. Find the amplitude of the motion?
View Solution
Q2
A 1 kg block is executing simple harmonic motion of amplitude 0.1m on a smooth horizontal surface under the restoring force of a spring of spring constant 100 N/m. A block of mass 3 kg is gently placed on it at the instant it passes through the mean position. Assuming that the blocks move together, then
View Solution
Q3
A 1 kg block is executing simple harmonic motion of amplitude 0.1 m on a smooth horizontal surface under the restoring force of a spring of spring constant 100Nm−1. A block of mass 3 kg is gently placed on it at the instant it passes through the mean position. Assuming that the two blocks move together, find the frequency and the amplitude of the motion.
View Solution
Q4
A 1 kg block is executing simple harmonic motion of amplitude 0.1 m on a smooth horizontal surface under the restoring force of a spring of spring constant 100 N m−1. A block of mass 3 kg is gently placed on it at the instant it passes through the mean position. Assuming that the two blocks move together, find the frequency and the amplitude of the motion.