Ayesha and Anita are pulling a table using ropes tied at the two ends of the table. Ayesha is applying force of 35N and Anita is applying a force of 45N. Find out the net force acting on the table and direction of motion of the chair.
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Answer:
Let the accelerations in both cases are a and a
′
respectively.
The tension is given as,
T−mg=ma (1)
2mg−T=2ma
By adding equations (1) and (2), we get
mg=3ma
a=
3
g
In the second case the tension is given as,
T
′
−mg=ma
′
(3)
2mg−T
′
=0 (4)
By adding equations (3) and (4), we get
mg=ma
′
a
′
=g
The ratio of acceleration is given as,
a
′
a
=
g
3
g
a
′
a
=
3
1
solution
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