A heavy uniform rod of mass 7 kg and length 5 metres is suspended from a from point by inextensible strings fastened to its ends , their lengths beings 3 and 4 m . Find the tensions in the string.
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Answer:
Step-by-step explanation:
ension in the string before snapping,
2T=mg
Torque on the rod,
T=
2
mgl
⇒Iα=
2
mgl
⇒
3
1
ml
2
α=
2
mgl
⇒α=
2l
3g
acceleration with which the centre of mass falls down,
a=
2
lα
=
4
3g
∴ma=F
D
−F
U
⇒m
4
3g
=mg−T
′
⇒T
′
=mg−
4
3mg
⇒T
′
=
4
mg
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