two cylinders 1 and 2 are connected by a rigid bar of negligible weight hinged at each cylinder and are left to rest in equilibrium in the position shawn under the application of a force P applied at the centre of cylinder 2 determine the magnitude of force P if the masses of the cylinder are m1=100kg and M2=50kg
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The magnitude of force P is 25.88 N
Explanation:
We are given that:
- W1 = 100 N
- W2 = 50 N
- To Find: The magnitude of the force
By applying Lami's theorem,
R / sin (90 + 30 ) = W / sin (60 + 75) = N1 / sin (90 +15)
R = 100 / sin 135 x X sin 120
R = 122 . 47 N
The conditions of equilibrium can be applied to Cylinder 2.
ΣFy = 0
N2sin45- Rsin15 - Psin45 - W = 0
N2sin45 - Psin45 = 81.69 N ----(1)
ΣFx = 0
- N2cos45 + Rcos 15 - Pcos 45
P = 25.88 N
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