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,

Respuesta :

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