two objects 5kg and 7kg are attached to the ends of an inextensible which passess over a frictionless pulley such that 5 kg is moving over a frictionless horizontal surface and the mass 7 kg is moving vertically downwards. find the acceleration in the system and tension in the string
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two objects 5kg and 7kg are attached to the ends of an inextensible which passess over a frictionless pulley such that 5 kg is moving over a frictionless horizontal surface and the mass 7 kg is moving vertically downwards. find the acceleration in the system and tension in the string
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The equation of motion for mass M
1
: M
1
a=T−M
1
g ...(1)
and for mass M
2
: M
2
a=M
2
g−T ....(2)
(1)+(2)⇒a(M
1
+M
2
)=(M
2
−M
1
)g
or a=
M
1
+M
2
(M
2
−M
1
)g
=
7+12
(12−7)(10)
=(50/19)m/s
2
From (1), T=M
1
(a+g)=7(50/19+10)=88.42N
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