Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
The figure below shows a pendulum with length L and the angle 0 from the vertical to the pendulum. It can be shown that 0, as a function of time, satisfies the following nonlinear differential equation 1²0 de2 200 9 + sin0 = 0 where a denotes the acceleration due to gravity. For small values of 0 we can assume 8- sin 8 (g=9.8m/s^2) such that the differential equation can be considered to be linear. Find the equation of motion of the pendulum with length 750 cm if e is initially 15° and its initial angular velocity is de = 1 rad/s. What is the maximum angle from the vertical?

The figure below shows a pendulum with length L and the angle 0 from the vertical to the pendulum. It can be shown that 0, as a function of time, satisfies the following nonlinear differential equation 1²0 de2 200 9 + sin0 = 0 where a denotes the acceleration due to gravity. For small values of 0 we can assume 8- sin 8 (g=9.8m/s^2) such that the differential equation can be considered to be linear. Find the equation of motion of the pendulum with length 750 cm if e is initially 15° and its initial angular velocity is de = 1 rad/s. What is the maximum angle from the vertical?

Question
100%

Asap plz 

(a) D The figure below shows a pendulum with length L and the angle 0 from the vertical to the pendulum. It can be shown that 0, as a function of time, satisfies the following nonlinear differential equation (e) d'o dt2 ( + sin0 = 0 where denotes the acceleration due to gravity. g For small values of 0 we can assume (b) What is the maximum angle from the vertical? 8 sing (g-9.6m/s^2) www. such that the differential equation can be considered to be linear. Find the equation of motion of the pendulum with length 750 cm if e is initially 15° and its initial angular velocity is de = 1 rad/s (d) When will the pendulum be vertical from initial position, that is, 8=0? What is the period of the pendulum (the time to complete one back-and-forth swing)? What is the angular velocity when the pendulum is vertical? Describe how the pendulum concept is used in the pendulum clock. (mar (1) mar
Transcribed Image Text:(a) D The figure below shows a pendulum with length L and the angle 0 from the vertical to the pendulum. It can be shown that 0, as a function of time, satisfies the following nonlinear differential equation (e) d'o dt2 ( + sin0 = 0 where denotes the acceleration due to gravity. g For small values of 0 we can assume (b) What is the maximum angle from the vertical? 8 sing (g-9.6m/s^2) www. such that the differential equation can be considered to be linear. Find the equation of motion of the pendulum with length 750 cm if e is initially 15° and its initial angular velocity is de = 1 rad/s (d) When will the pendulum be vertical from initial position, that is, 8=0? What is the period of the pendulum (the time to complete one back-and-forth swing)? What is the angular velocity when the pendulum is vertical? Describe how the pendulum concept is used in the pendulum clock. (mar (1) mar
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer