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A mass m which is attached to a spring constant k, oscillates on a horizontal table with amplitutde A.At the instant when the spring is stretched by 3^1/2A/2(Aroot3/2),a second mass m is dropped vertically onto the original mass and immediately sticks to it.What is the amplitude of the resulting motion

A mass m which is attached to a spring constant k, oscillates on a horizontal table with amplitutde A.At the instant when the spring is stretched by 3^1/2A/2(Aroot3/2),a second mass m is dropped vertically onto the original mass and immediately sticks to it.What is the amplitude of the resulting motion
 

Grade:12

1 Answers

Amresh
13 Points
5 years ago
As there is no net external force acting on the system, the linear momentum will remain conserved.
So, mv=2mv'
v'=v/2
Now, Energy will be conserved 
1/2k2=1/2*2*m*(v')2+1/2*k*3A2/4
As v=

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