We connect a Linear-Motion FB (a Clock FB) to rotate the Rocker with a constant angular velocity. This Step helps to understand:
The Machine Speed Setting is 60RPM, or 1Cycle/second. 1Cycle/second = 2π radians/second. The mechanism below shows the forces that act at the Pin-Joint. |
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Addition of Vertical Forces acting on the Rocker (Point 2) : (↑+ve). ∑FV=0 : R2V(N) - 1(kg)*9.807(m/s/s) = 0; R2V = 9.807N (upwards) Addition of Horizontal Forces acting on the Rocker (Point 2) : (→ +ve). ∑FV=0 : +R2H(N) + 1(kg)*0.1(m)*(2π)2(1/s/s) = 0; R2H = -3.948N (to the left) Moments are:
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The image to the left is the same as the image above. I have added to the image the Horizontal and Vertical Force Vectors that ACT-ON the Rocker The two components are:
The forces are perpendicular(⊥) when the Rocker is horizontal. Hence, we can use Pythagoras, to give 10.571N Ftotal = √(Fg2 + Fc2) (Total Force = SQRT(SQR(Gravitation Force) + SQR(Centripetal Force)) = SQRT((m.g)2 + (m.r.ω2)2) Total Force = √((1*g)2 + (1*0.1*(2π)2)2) = √(9.812 + 3.9482) = 10.571N |