1) Two particle masses are placed on a rigid bar which is connected to linear•••springs as shown below. The system is released from rest.Calculate the system total kinetic and potential terms when the bar makesangle with the horizontal line.Calculate angular velocity of the system when =5(deg) and 8(deg), usem=1(kg), k=20 N/m, 1=1(m).Derive equation of motion of the system and then validate that with theprinciple of conservation of energy.Calculate max deflection of the system.mallilom1.5k

1. Let's assume the system consists of two masses (each of mass m = 1 kg) connected by a rigid bar.…

Answered: 1) Two particle masses are placed on a…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter10: Rotational Motion And Angular Momentum

Section: Chapter Questions

Problem 30PE: To develop muscle tone, a woman lifts a 2.00-kg weight held in her hand. She uses her biceps muscle...

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A small particle of mass m is pulled to the top of a friction less half-cylinder (of radius R) by a light cord that passes over the top of the cylinder as illustrated in Figure P7.15. (a) Assuming the particle moves at a constant speed, show that F = mg cos . Note: If the particle moves at constant speed, the component of its acceleration tangent to the cylinder must be zero at all times. (b) By directly integrating W=Fdr, find the work done in moving the particle at constant speed from the bottom to the top of the hall-cylinder. Figure P7.15
A pendulum consists of a rod of mass 2 kg and length 1 m with a solid sphere at one end with mass 0.3 kg and radius 20 cm (see the following figure). If the pendulum is released from rest at an angle of 30 , what is the angular velocity at the lowest point?
While exercising in a fitness center, a man lies face down on a bench and lifts a weight with one lower leg by contacting the muscles in the back of the upper leg. (a) Find the angular acceleration produced given the mass lifted is 10.0 kg at a distance of 28.0 cm from the knee joint, the moment of inertia of the lower leg is 0.900kg-m2 the muscle force is 1500 N, and its effective perpendicular lever arm is 3.00 cm. (b) How much work is done if the leg rotates through an angle of 20.0° with a constant force exerted by the muscle?
A small block of mass m = 200 g is released from rest at point along the horizontal diameter on the inside of a frictionless, hemispherical bowl of radius R = 30.0 cm (Fig. P7.45). Calculate (a) the gravitational potential energy of the block-Earth system when the block is at point relative to point . (b) the kinetic energy of the block at point , (c) its speed at point , and (d) its kinetic energy and the potential energy when the block is at point . Figure P7.45 Problems 45 and 46.
1. The hollow tube is pivoted about at point 0, rotating in the vertical plane with a constant clockwise angular velocity of 3 rad/sec. If a 230 g plug is sliding in the tube towards 0 with a constant speed of 30 mm/sec relative to the tube when the position 30 degrees is passed and the plug is at 300 mm from O • find the normal force on the plug find the friction force on the plug Make sure to clearly state the direction the forces act in.
Two solid spheres of radius R and mass m are initially separated by a distance d such that the two centres of mass are separated by d+3R as shown below. The spheres are initially at rest, but the gravitational force accelerates them towards each other until they collide.a) Calculate the initial mechanical energy of the system.b) Calculate the gravitational potential energy of the system at the moment they collide.c) Derive an expression for v. State carefully what physical law you are applying.d) Show that, in the limit d >> R, the velocity v is independent of d.
9.5 •• CALC A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to 0(t) = yt + ßr², (a) Calculate the angular velocity of the merry-go-round as a function of time. (b) What is the initial value of the angular velocity? (c) Calculate the instantaneous value of the angular velocity w̟ at t = 5.00 s and the average angular velocity way-z for the time interval t = 0 to t = 5.00 s. Show that way-z is not equal to the average of the instantaneous angular velocities at t = 0 and t = 5.00 s, and explain. where y = 0.400 rad/s and ß =0.0120 rad/s. %3D %3D
Two couples act on the beam as shown. Determine the magnitude of F so that the resultant couple moment is 300 lb • ft counterclockwise. Where on the beam does the resultant couple act?
•28 A 2.0 kg particle-like object moves in a plane with velocity components v, = 30 m/s and v, = 60 m/s as it passes through the point with (x, y) coordinates of (3.0, –4.0) m. Just then, in unit- vector notation, what is its angular momentum relative to (a) the origin and (b) the point located at (-2.0, -2.0) m?
Consider the following. R M • (c) y m (a) (b) (a) If R = 12 cm, M = 220 g, and m = 70 g , find the speed of the block after it has descended 50 cm starting from rest. Solve the problem using energy conservation principles. (Treat the pulley as a uniform disk.) m/s (b) Repeat (a) with R = 5.0 cm. m/s
Compute the moment MA of the force F about point A. Y Moment MA 1. 6.5 2. 5.6 3. 4.7 4. 7.4 3'-0" 50⁰ 70° X F = 2 kips
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