VA, aAKnown values:L.ro570 mm| 300 mm190 mm130 mmProblem Statement:Disk BG rolls without slip on a horizontal surface. Slider A slides in a horizontal track. Bar AB is pinned to the disk at B and to the slider at A as depicted. At the instant when B is directly below G, the slider's velocity andacceleration are both directed to the left: 6.7 m/s and 5.8 m/s?, respectively. For that instant, determine the following.The angular velocity of the bar:The angular velocity of the disk:The velocity vector of disk center, G:The angular acceleration of the bar:

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Answered: Disk BG rolls without slip on a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Consider the slider-crank mechanism shown. Crank AB is 0.500 m long and is rotating counterclockwise at 3.00 rad/s. Rod BD is 1.500 m long. 1. Which of the following gives the closest value of the speed of end B of crank AB? 2. If crank AB is rotating at a constant angular velocity, which body/bodies is/are in general plane motion?
A 2.5 ft diameter flywheel of a gas engine has a pulley 10 in. in diameter bolted to it (both turning together). The flywheel turns at a speed of 150 rpm. Find a. the angular speed of the pulley in radians per second b. the linear speed in feet per minute of a point on the surface of the flywheel c. the linear speed in feet per minute of a belt running on the pulley, assuming no slipping between the belt and pulley surface.
A cart (20 kg) is supported by 2 wheels (15 kg each) on a 30 degree incline. The wheels have a radius of 100mm and roll without slipping. WHAT IS THE ACCELERATION OF THE CART AFTER ITS RELEASED FROM REST?
A disk is rotating about a vertical axis of rotation without displacing with an initial angular velocity of 10 rad/s. A 40 kg child is sitting 2 meters away from the axis of rotation. The rotational inertia of the disk is 50 kgm2 and the rotational inertia of the child is 80 kgm2. Another 40 kg child jumps onto the disk 3 meters away from the axis of rotation with a rotational inertia of 180 kgm2. Calculate the new angular velocity of the disk and two children.
The crude-oil pumping rig shown is driven at 20 rpm. The inside diameter of the well pipe is 2 in., and the diameter of the pump rod is 0.75 in. The length of the pump rod and the length of the column of oil lifted during the stroke are essentially the same, and equal to 6000 ft. During the downward stroke, a valve at the lower end of the pump rod opens to let a quantity of oil into the well pipe, and he column of oil is then lifted to obtain a discharge into the connecting pipeline. Thus, the amount of oil pumped in a given time depends upon the stroke of the lower end of the pump rod. Knowing that the upper end of the rod at D is essentially sinusoidal with a stroke of 45 in. and the specific weight of crude oil is 56.2 lb/ft3 determine (a) the output of the well in ft3. /min if the shaft is rigid, (b ) the output of the well in ft3 /min if the stiffness of the rod is 2210 N/m, the equivalent mass of the oil and shaft is 290 kg, and damping is negligible.
Derive the equations of motion of a slender rod with length of 1.2m mass of 10 kg is attached to a wheel of radius 0.1m mass of 2 kg. Horizontal external force, f, applied to the wheel axle, assume no slipping.
(a) What is the tangential acceleration of a bug on the rim of a 9.0 in. diameter disk if the disk moves from rest to an angular speed of 76 revs/min in 5.0 s? (b) When the disk is at its final speed, what is the tangential velocity of the bug?
The system shown below is made up of two pulleys attached to the same shaft, with radii ri and re of 0.29 mm and 0.43 mm, respectively. The total mass of the pulley system is 14 kg and its turning radius is 0.26 mm from its center. The mass of block A is 9 kg and the mass of block B is 2 kg. If the coefficient of kinetic friction between block B and the floor is 0.2, find the angular acceleration of the pulley.
Link BC (of length 0.47 m) is pin connected at the fixed point C and makes an angleof ⍬ = 51° with the vertical. This link is connected to the vertical link AB (of length0.3 m) and point A is also the axle of a wheel of negligible size that is moving alonga circular track of radius r =2.3 m. If the speed of A is constant and VA = (-2.59)im/s, which one of the following statements is correct? (In the followingstatements, wAB and wBC denote ⍵AB and ⍵BC respectively, where both are definedpositive in the k-direction and given in rad/s, and A denotes the magnitude of pointA's acceleration in m/s2) 1) wAB=0; wBC=0; aA=02) wAB=6,99; wBC=-7.09; aA=03) wAB=8.63; wBC=0; aA=04) wAB=8.63; wBC=0; aA >0 5) wAB=6.99; wBC=-7.09, aA>0
A, B, C and D are the four masses carried by a shaft in this order. Radii of rotation of the masses are 20cm, 25 cm, 10 cm and 15 cm respectively. The masses of B, C and D are 3 kg, 5 kg and 4 kg respectively.The planes containing B and C are 25 cm apart. Angle between B and C is 90o and between B and D is220o measured in anticlockwise direction. For complete dynamic balance, find (i) The mass and angularposition of A, (ii) The position of planes A and D.
Consider the same mechanism again, with m=2.95 kg, d=225 mm, k=250 N/m, and μs=0.297. What is the maximum angular velocity allowable if the collar is to remain at a constant distance r=300 mm from the axis of rotation? Express your answer to three significant figures.
Question 3 The speed of the engine mechanism shown in Figure 1 is controlled by the Porter governor. All arms of the governor are 20 mm and are hinged at a distance of 4 mm from the axis of rotation. The mass of each ball is 100 g and the mass of the sleeve is 500 g. The governor sleeve begins to rise at 40 rad/s. when the links are at an angle of 5° to the vertical. Assuming the friction force to be constant 3.1. Draw the port governor mechanism and clearly lable it. 3.2. Calculate the minimum speed of rotation (in rad/s) when the inclination of the arms to the vertical is 10°.

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