Advertisement Remove all ads

Two Cylinders 1 and 2 Are Connected by a Rigid Bar of Negligible Weight Hinged to Each Cylinder and Left to Rest in Equilibrium in the Position Shown Under the Application of Force P - Engineering Mechanics

Answer in Brief

Two cylinders 1 and 2 are connected by a rigid bar of negligible weight hinged to each cylinder and left to rest in equilibrium in the position shown under the application of force P applied at the center of cylinder 2.
Determine the magnitude of force P.If the weights of the cylinders 1 and 2 are 100N and 50 N respectively.

Advertisement Remove all ads


Given : W1 = 100 N
W2 = 50 N
Cylinders are connected by a rigid bar
To find : Magnitude of force P
Solution :
Consider cylinder I

Applying Lami’s theorem :

R = 122.4745 N
Cylinder 2 is under equilibrium

Applying conditions of equilibrium
ΣFy = 0
N2sin45 - Rsin15 - Psin45 – W = 0
N2sin45 - Psin45 = 122.4745 x 0.2588 + 50
N2sin45 - Psin45 = 81.6987 ………..(1)
Applying conditions of equilibrium
ΣFx = 0
N2cos45+Pcos 45=118.3013 ……(2)
Solving (1) and (2)
P=25.8819 N
Magnitude of force P required = 25.8819 N

Concept: Applications on Equilibrium Mechanisms
  Is there an error in this question or solution?
Advertisement Remove all ads


Advertisement Remove all ads
Advertisement Remove all ads

View all notifications

      Forgot password?
View in app×