Question

As shown, a cam has a shape that is described by the function r=r0(2.00−cosθ)r=r0(2.00−cos⁡θ), where r0r0r_1 = 45.0 cm

A slotted bar is attached to the origin and rotates in the horizontal plane with a constant angular velocity of 0.810 rad/srad/s . The bar moves a roller weighing 14.4 kg along the cam's perimeter. A spring holds the roller in place; the spring constant is 29.6 N/m , and the spring is unstretched when θ = 0. The friction in the system is negligible. When θtheta_1 = 102 ∘∘ , what are Fr and Fθ_theta, the magnitudes of the cylindrical components of the total force acting on the roller?

Express your answers numerically in newtons to three significant figures separated by a comma.

find Fr and Ftheta

Answer 1