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BITSAT 2016 Solved Question Paper
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© examsnet.com
Question : 28
Total: 150
A 1 kg mass is attached to a spring of force constant 600 N/m and rests on a smooth horizontal surface with other end of the spring tied to wall as shown in figure. A second mass of 0.5 kg slides along the surface towards the first at 3m/s. If the masses make a perfectly inelastic collision, then find amplitude and time period of oscillation of combined mass.
5
c
m
,
π
10
s
5
c
m
,
π
5
s
4
c
m
,
2
π
5
s
4
c
m
,
π
3
s
Validate
Solution:
Applying linear momentum conservation,
0.5
×
3
=
(
1
+
0.5
)
v
or
v
=
1
m/s
By conservation of energy
After collision
1
2
(
1
+
0.5
)
v
2
=
1
2
k
A
2
⇒
A
=
√
1.5
k
×
v
⇒
A
=
√
1.5
600
×
1
=
1
20
m
=
0.05
m
A
=
5
c
m
Time period of oscillation,
T
=
2
π
√
m
1
+
m
2
k
=
2
π
√
1.5
600
=
2
π
20
=
π
10
s
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