Question

A mass attached to a spring has a time period of
3s. When attached to another spring it has a time
period of 4s. If the spring are attached in parallel,
time period in seconds is :​

Answer 1

Given m

1

=M

T

1

=2s

m

2

=M+2kg

T

2

=2s+1s=3s

Period T=2π

K

m

(in the usual notation)

∴ T

1

=2π

K

m

and T

2

=2π

K

M+2

∴

T

1

T

2

=

M

M+2

2

3

=

M

M+2

4

9

=

M

M+2

9M=4M+8

9M−4M=8

5M=8

M=

5

8

=1.6kg