PROBLEM 4.4 A flywheel rotating at 500 rpm decelerates uniformly at 2 rad/sec2. How many seconds will it take for the flywheel to stop? 25.18 seconds 4. c. 27.18 seconds d. 28.18 seconds а. b. 26.18 seconds
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- A flywheel rotating with an angular velocity of 450 rad/s is uniformly accelerated at a rate of 15 rad/s² for 28 sec. Find the final angular velocity of the flywheel both in rad/s and rpm.2. Write the relationship between coefficient of fluctuation of speed, maximum fluctuation of energyand kinetic energy of flywheel.300 mm B, 600 mm A WAB C Rod AB is rotating counter clockwise with an angular velocity of wAB = 50 rad/s and rod BC is rotating counter clockwise with angular velocity of opC = 25 rad/s. Given that the angle is 0 = 50° and the angle o = 43°. By using vector method: 1. Determine the types of motion of link AB, link BC and slider C 2. Find the magnitude of velocity of point B 3. Find the magnitude of velocity of the slider block C Show all the reference diagram, formulation, positive axes and detail calculation as these items have their own mark.
- After much debate amongst your coworkers, everyone agrees that the design analyzed in Objective 2 is sufficient to do the job. A coworker attaches a motor to link 2 which rotates it clockwise at 120 rpm at the instant shown in the image. Determine the following using any method you desire. • Velocity of Point B Velocity of Point C The angular velocity of Link 4 Make sure you submit all relevant calculations and graphical work in an organized and readable fashion. 4.200 B 1.800 105° 0.600 2 A 3.600Objective 2: Instead of working on Objective 1 yourself, you decide to let a fellow employee perform the task. Of course, mistakes are made, and the employee designs the four- bar mechanism below (units are in feet). Analytically determine the angular displacement of the rocker (Link 4) if the crank (Link 2) is rotated 15° clockwise from the position shown in the image. Use graphical methods to confirm your work. 4.200 4 1.800 105° 0.600 2 3.600Given: A shaft rotates about a fixed vertical axis at a constant rate of f, as shown below. A straight bar OA, having a length of L, is pinned to point O on the shaft, with O being on the rotation axis of the shaft. At the instant when 80, bar OA is being raised at a rate of 6 from the horizontal plane, with this rate changing at a rate of . A set of ryz coordinate axes is attached to bar OA with its origin at O. A second set of coordinate axes, XYZ, are fixed to ground. At the instant when = 0, the zyz and XYZ axes are aligned with each other. Find: For the instant when -0°, determine the angular velocity and angular acceleration of har OA. vertical shaft bearing O 8 X bar Use the following parameters in your analysis: f2=5 rad/s, é = 4 rad/s, 6-3 rad/s² and L=2 m.
- Pr5. A yo-yo is a toy consisting of an axle of radius r connected to two disks of radius R, and a thread looped around the axle. The end of the thread is fixed to the ceiling and the yo-yo rolls down so that the axis moves along a vertical line. (The thread does not slip on the axle.) R. a) Find the velocity of point P indicated in the figure in the moment when the axis of the yo-yo moves with velocity v. Express your answer in terms of r, R and v. b) Find the radius of curvature of the trajectory of point P in the moment shown in the figure. Give your answer in terms of r and R.Q1. In a link work, as shown in Fig. below, the crank A B rotates about A at a uniform speed of 150 r.p.m. The lever DC oscillates about the fixed point D, being connected to A B by the connecting link BC. The block F moves, in horizontal guides being driven by the link EF, when the crank A B is at 30°. The dimensions of the various links are: AB = 150 mm; BC = 450 mm; CE = 300 mm; DE = 150 mm; and EF = 350 mm. Find, for the given configuration, find 1- angular acceleration of link DC, and 2- acceleration of slider F. 75 mm www 450 mm 37,5 mm AThe power of an engine running at 125 rpm is turned off and the engine comes to rest at the end of 2 min and 40 sec. Assuming that there is no slipping between the belt and pulley surface and that the deceleration is uniform, find 1) the average speed in radians per second of the engine pulley in coming to rest; 2) the total angular distance traveled in revolutions, radians and degrees in coming to rest; 3) the distance in feet traveled by a belt running on the pulley in coming to rest, if the pulley diameter is 3ft.
- Problem Statement: A car drives on a circular track with radius 270 m. Initially, the displacement s=0 and the speed is 24 m/s. The car then begins to accelerate at At 0.3s (given in m/s? where s is in meters). After 3.4 seconds has passed, determine: (To get this answer you may need to use a table of integrals and/or a numerical equation solver.) The distance traveled: ûn The velocity vector: un The acceleration vector: Be sure to include units with your answers.5. A 500 g mass is attached to a spring and set into motion. The period is observed to be 2.5 s. a) What is the spring constant? b) The mass is replaced by a textbook with an unknown mass. Find the mass if the new period is 6.0 s. 6. A wrecking ball is sometimes used to demolish old buildings. You are standing directly beneath the pivot point of such a wrecking ball, with the ball at the top of its swing. If the length of the cable is 12 m, how long do you have to get out of the way? 7. a) When the displacement of a mass on a spring is ½A, what fraction of the total energy is kinetic energy and what fraction is potential energy? b) At what position is the energy half kinetic and half potential? 8. An oscillator vibrates with a frequency of 200 Hz and an amplitude of 4.00 mm. At t = 0 the oscillator is at the lowest point in its vibration. Write the equation that describes the motion of the oscillator. Show transcribed image text 5. A 500 g mass is attached to a spring and set into…Please show graphical method representation for all questions a b and c. please.... Thank you A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. Determine: The magnitude of the mass in plane E and its angular position relative to the mass in plane A The distance of the plane E from plane A The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the…