A simple pendulum has a mass of 0.350 kg and a length of 7.00 m. It is displaced through an angle of 8.0° and then released. Using the analysis model of a particle in simple harmonic motion, calculate the following. (Give your answer to the thousandths place.)

(a) What is the maximum speed of the bob?

-I already found it to be 1.156 m/s

(b) What is the maximum angular acceleration of the bob?

(c) What is the maximum restoring force of the bob?

(d) Solve parts (a) through (c) by using other analysis models. (Hint: you may need to use separate analysis models for each part.)

m,

Question

Physics

Dayton

18 December, 09:53

A simple pendulum has a mass of 0.350 kg and a length of 7.00 m. It is displaced through an angle of 8.0° and then released. Using the analysis model of a particle in simple harmonic motion, calculate the following. (Give your answer to the thousandths place.)

(a) What is the maximum speed of the bob?

-I already found it to be 1.156 m/s

(b) What is the maximum angular acceleration of the bob?

(c) What is the maximum restoring force of the bob?

(d) Solve parts (a) through (c) by using other analysis models. (Hint: you may need to use separate analysis models for each part.)

m,

+2

Answers (1)

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Alayna Torres · Answer 1

Mass m = 0.35 kg Length of pendulam L = 7.00 Angle = 8.0° a. Angular Speed = angular frequency w x amplitude A angular frequency w = sqrt (g/L) = sqrt (9.81/7) = 1.184 Amplitude A = (angle x pi / 180) x 7 = 56pi / 180 = 0.977 angular speed = 1.184 x 0.977 = 1.15 rad/sec b. Maximum angular acceleration a = w^2 x A = 1.184^2 x 0.977 = 1.37 rad/sec^2 c. force = m x a = 0.35 x 1.37 = 0.48 N