Tying a stone to one end of the string and swinging it round and round by the another end which of the following work done it ja positive or negative
Answers
Answer:
Step 1: FBD [Ref. Fig.]
Tension will be maximum at bottom and minimum at top
Step 2: Velocities at highest and lowest points
Minimum velocity required at bottom point to complete circle =v
v=
5gR
....(1)
Step 3: Calculations
For revolving in complete circle tension at highest point T≥0
⇒T
min
=0
Applying Newton's second law on the stone along centripetal direction (Considering direction towards center as positive)
ΣF
c
=ma
c
=m(
R
v
2
)
Using equation (1) in the following
⇒T
max
−mg=
R
mv
2
=5mg
⇒T
max
=6mg [T is maximum at bottom]
So, T
max
−T
min
=6mg
⇒6mg=2g Given: T
max
−T
min
=2g
⇒m=
6
2
=
3
1
kg
Explanation:
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