2. consider a conical pendulum with a bob of mass m = 77.0 kg on a string of length l = 10.0 m that makes an angle of 3.00° with the vertical. (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.

Explanation:

It is given that,

The mass of bob, m = 77 kg

Length of the string, L = 10 m

Angle made by the string with the vertical,

(a) Let T is the force exerted by the string on the pendulum. At equilibrium,

T = 755.63 N

The horizontal component of the force is given by,

The vertical component of the force is given by,

(b) Let a is the radial acceleration of the bob. It can be calculated as :

Hence, this is the required solution.

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