AR U. answered • 11/09/19

Experienced Physics and Math Tutor [Edit]

You can first find the radius, r of the motion using

r = radius of the platform + horizontal swing distance

= diameter/2 + Lsinθ = 5.8 m

where L is the length of the massless chain and θ is the displaced angle

a)

If you draw the forces (FBD) acting on the system and use Newton's second law of motion to find the x - and y-component of the forces, you will get

tanθ = v^{2}/rg ==> v = √(rgtanθ), where v is the speed of each each, with g =9.8m/s^{2 }. I trust that you can now find v but plugging in the known r, g and θ values.

b) also, from the x- and y-components of the forces, you have

Tcosθ = mg = T = mg/cosθ, where T = tension in the chain and m = 10kg + 45.3kg, and θ = 37.3°