Posted by **michael** on Thursday, December 8, 2011 at 4:32am.

Consider a conical pendulum with an 80.0-kg bob on a 10.0-m wire making an angle of 5.00 with the vertical as shown. Determine (a) the horizontal and vertical components of the force exerted by the wire on the pendulum and (b) the radial acceleration of the bob.

- physics -
**drwls**, Thursday, December 8, 2011 at 9:40am
You will find the answers here:

http://en.wikipedia.org/wiki/Conical_pendulum

- physics -
**amna**, Thursday, November 5, 2015 at 10:58pm
The forces acting on the pendulum in the vertical direction must

be in balance since the acceleration of the bob in this direction is

zero. From Newton’s second law in the y direction,

Fy Σ = T cosθ −mg = 0

- physics -
**amna**, Thursday, November 5, 2015 at 10:59pm
The forces acting on the pendulum in the vertical direction must

be in balance since the acceleration of the bob in this direction is

zero. From Newton’s second law in the y direction,

Fy Σ = T cosθ −mg = 0

Solving for the tension T gives

T = mg

cosθ

=

(80.0 kg)(9.80 m s2 )

cos 5.00°

= 787 N

In vector form,

T

= T sinθ ˆi +T cosθ ˆj

= (68.6 N)ˆi +(784 N)ˆj

(b) From Newton’s second law in the x direction,

Fx = T sinθ = mac Σ

which gives

ac = T sinθ

m

= (787 N)sin5.00°

80.0 kg

= 0.857 m/s2

toward the center of the circle.

The length of the wire is unnecessary information. We could, on

the other hand, use it to find the radius of the circle, the speed of

the bob, and the period of the motion.

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