Question

1) A pendulum bob of mass m is attached to an ideal string of length L. The other end of the string is attached to a rigid hook. The bob is lifted along a circular are of radius L until it and the string makes an angle with the vertical, as shown. The bob is then released from rest. a) Prediction: If the magnitude of the tension in the string is measured to be I when the bob is at the bottom of the arc, what is the centripetal acceleration as of the bob at that point? Express your answer in terms of T, m, and g. b) Graph: Based on your derivation, create a detailed plot of centripetal acceleration as a function of tension a-(T) vs. T. Use the values g = 9.81 m/s and m=0.100 kg. 2) Draw your graph to scale using graph paper and with your choice of scale clearly indicated. a) Label each axis with the appropriate units. The Taxis should range from O N to 3.0 N and the a, axis should range from -10 m/s? to 25 m/s. b) Be sure to plot and label at least three different points on your graph, including the d- intercept and the T intercept.

I need help for part 2 please

Answer 1

In this question we have to plot a graph between the radial acceleration a and tension T.
- ILLII - In the given figure, T is tension in string. a is radial acceleration q mass. Applying equation q motion =) T-mg = ma - ma= T-mg . AT pa m Given :- m= 0.1kg and . g= 9.81 m/s² => a= T-0.981 1 m/s? ' 1. 0.1 Tension (Newton) 0 1 / 2 Radial acceleration | -9.81 (m/s) 19 10:19 1 90.19 From Graph T intercept = a inter cept = 0.981 -0.981