A pendulum consisting of three masses is shown below. The middle mass M is fixed at the midpoint of a long string, the ends of which are tied to masses m each. The strings hang over two massless pulleys (located at the same height). The pulleys are a distance 21 apart and have negligible size. Assume that the mass M is constrained to move in a vertical line midway between the pulleys. Let 8 be the angle the string from mass M makes with the horizontal. Find the Equation of Motion for 8. What are the linearized equations of motion about the equilibrium? Find the frequency of small oscillations around the equilibrium.

A pendulum consisting of three masses is shown below. The middle mass M is fixed at the midpoint of a long string, the ends of which are tied to masses m each. The strings hang over two massless pulleys (located at the same height). The pulleys are a distance 21 apart and have negligible size. Assume that the mass M is constrained to move in a vertical line midway between the pulleys. Let 8 be the angle the string from mass M makes with the horizontal. Find the Equation of Motion for 8. What are the linearized equations of motion about the equilibrium? Find the frequency of small oscillations around the equilibrium.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter4: Coplanar Equilibrium Analysis

Section: Chapter Questions

Problem 4.129P: The uniform 240-lb bar AB is held in the position shown by the cable AC. Compute the tension in the...

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The uniform 240-lb bar AB is held in the position shown by the cable AC. Compute the tension in the cable.
Question 5- find the سا mg-2 2N that act at an resultant of forces 2, √3, 5, √3 and angular point of a regular Hexagon towards other angular points taking arder. Aus R=10N x=60 Question 6- A string ABC of to two points A and C at the same level. A string ABC of length 50cm is tied A smooth ring of weight 500 N which can slide along the string at B, 30cm away from A along the string and pulley by a horizontal force Pas shown in figure 3. If point B is 15cm beforce of AC magnitude of P while tensions in the Determine the on both side of B'are same string of th Aus → T = 900 N
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