Consider a conical pendulum with a bob of mass m = 76.0 kg on a string of length

Question

Consider a conical pendulum with a bob of mass m = 76.0 kg on a string of length L = 10.0 m that makes an angle of ? = 7.00

Consider a conical pendulum with a bob of mass m = 76.0 kg on a string of length L = 10.0 m that makes an angle of ? = 7.00 degree with the vertical. (Consider + hat boldto be towards the center of the circular path and + hat bold to be upward.) Determine the horizontal and vertical components of the force exerted by the string on the pendulum. Determine the radial acceleration of the bob.

Explanation / Answer

Here

Vertical Component = TCos(theta) = mg

= 76*9.8

= 744.8 N i

Form this

T = 744.8/Cos7

= 750.393 N

Horizontal Component = TSin(theta)

= 750.393*Sin7

= 91.45 N j

Here

Radial Acceleration = Horizontal Component/Mass

= 91.45/76

= 1.203 m/sec^2

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