Physics
posted by Anonymous .
A simple pendulum, 2.0 m in length, is released from rest when the support string is at an angle of 25 from the vertical. What is the speed of the suspended mass at the bottom of the swing?

Let A be the pendulum angle, which vaires sinusoidally with time. R is the pendulam length
R sin A = X
Xm = 2.0 sin 25 = 0.845 m is the oscillation amplitude (measured horizontally)
X = Xm sin (w t)
is the equation of motion
w is the angular frequency
w = sqrt(g/R) = 2.21 rad/s
Vmax = w*Xm = 2.21 rad/s*0.845 m
= 1.87 m/s
Respond to this Question
Similar Questions

physics  energy question
A simple pendulum, 2.0 m in length, is released with a push when the support string is at an angle of 25° from the vertical. If the initial speed of the suspended mass is 1.2 m/s when at the release point, what is its speed at the … 
Physics
The length of a simple pendulum is 0.72 m, the pendulum bob has a mass of 305 grams, and it is released at an angle of 10° to the vertical. a) With what frequency does it vibrate? 
physicsURGENT
An 85 cm long pendulum with a 0.80 kg bob is released from rest at an initial angle of θ0 with the vertical. At the bottom of the swing, the speed of the bob is 2.8 m/s. What angle does the pendulum make with the vertical when … 
physics
suppose a simple pendulum was released from an angle of 58 degrees, with a length of 0.75m and mass of .15kg. what would be the speed of the bob at the bottom of the swing? 
Physics
A particle of mass m = 3.04kg is suspended from a fixed point by a light inextensible string of length = 1.11m. You are required to determine the relationship between the period of swing and the length of the pendulum. For small angle … 
Physics
A pendulum is composed of a mass m suspended from the ceiling by a massless string of length L. If the mass is pulled back so that it is raised an amount L/4 and then released, what is the tension on the string at the bottom of the … 
Physics
A simple pendulum consists of a light rod of length L = 0.9 m anchored at a fixed point (like the ceiling), and a small mass m = 0.5 kg attached to the free end. The configuration is moved to an angle Î¸ = 39 degrees from the vertical … 
Physics
Consider the conical pendulum, a mass on the end of a string, with the other end of the string fixed to the ceiling. Given the proper push, this pendulum can swing in a circle at an angle q of 25.5 with respect to the vertical, maintaining … 
Physics!!!
Question: A(n) 3.17 m long pendulum is released from rest when the support string is at an angle of 38.6 degrees with the vertical. The acceleration of gravity is 9.8 m/s2 . What is the speed of the bob at the bottom of the swing? 
Physics
A pendulum consists of a swinging mass hanging from a massless string. The hanging mass is 2.0 kg and the string is 400.0 cm long. If the mass has a speed of 8.0 m/s when it passes the lowest point of its swing, a) what is the speed …