A slotted arm revolves in the vertical plane about a fixed point O with a consta

Question

A slotted arm revolves in the vertical plane about a fixed point O with a constant angular velocity, to. The radial position of slider C (having a mass m) is known to be the following function of theta: r = r0+theta 2/2, where r is in meters and 8 is in radians. Assume the slot to be smooth. At the instant when theta = 30 degree, determine the tension. T, of the cord. determine the normal force, N, acting on C by the slotted arm. Use the following parameters in your analysis: m = 3kg, r0 = 2 meters and Omega = 9 rad/s.

Explanation / Answer

LET TENSION IN STRING BE T.
T+MGSIN=M^2R

T=MW^2R-MGSIN

R AT =30

R=2.137M

T=3*9*9*2.137-30*.5=504.29N

N=MGCOS=30COS30=4.627N

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