A pendulum swings through an arc of 90.0° (45.0° on either side of the vertical)

Question

A pendulum swings through an arc of 90.0° (45.0° on either side of the vertical). The mass of the bob is 5.10 kg and the length of the suspending cord is 4.20 m.

(a) Find the tension in the cord at the end points of the swing.


(b) Find the velocity of the bob as it passes its lowest point and the tension in the cord at this point.
velocity =
tension =

Explanation / Answer

Tension at end point is T cos@ = mg ==> T = m g / cos45 = 5.10 * 9.8 / cos45 = 70.68 N b) T sin45 = m v^2 / R ==> v^2 = T R sin45 / m = 70.68 * 4.20 * 0.7071 / 5.10 = 41.15 ==> v = 6.415 m/s T ' = mg = 5.1 * 9.8 = 49.98 N

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