Consider a conical pendulum with a bob of mass m = 78.0 kg on a string of length L = 10.0 m that makes an angle of 𝜃 = 2.00° with the vertical.

Question

(Consider +î to be towards the center of the circular path and +ĵ to be upward.)

(a) Determine the horizontal and vertical components of the force exerted by the string on the pendulum.

(b) Determine the radial acceleration of the bob.

Answer 1

Sum Force Y = 0

Tcosθ - mg = 0

T = mg / cosθ = 78*9.81/cos2 = 765.646 N

Sum Force X = ma

Tsinθ = ma

a = Tsinθ/m = 0.342 m/s^2