A disk is connected to the horizontal section of a bent shaft S as shown, such that the disk is free to rotate on the shaft. The other end of the shaft is connected to the ground via a bearing that allows the shaft to rotate about the z-axis. As the shaft turns, the disk also rotates such that there is no slip with the ground. If the shaft is turning about the z-axis at w₂ = 2 rad/s with an angular acceleration a rad/s², determine the linear velocity and 8 acceleration of the point A on the disk for the instance shown. =

A disk is connected to the horizontal section of a bent shaft S as shown, such that the disk is free to rotate on the shaft. The other end of the shaft is connected to the ground via a bearing that allows the shaft to rotate about the z-axis. As the shaft turns, the disk also rotates such that there is no slip with the ground. If the shaft is turning about the z-axis at w₂ = 2 rad/s with an angular acceleration a rad/s², determine the linear velocity and 8 acceleration of the point A on the disk for the instance shown. =

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

See similar textbooks

Similar questions

P5/ The wheel of metor Cycle and the engine parts have antoment of inertia 2-5 kg.m? and o 15 Kg.m² respectively The axis of rotation of the engine erank Shaft is parallel to that of the road wheels-If the gear ratio is 5:1 and the diameter o f the read whels is o.65 m, find the magnitude and direction of the gyroscopic Couple when the motor Cycle rounds a eurve of Bom radius at l6 m/s.
The pinion (gear 2 on shaft a) rotates at 695 rev/min clockwise and transmits 1497 W through the idler pair (gears 3 and 4 on shaft b) to the output gear (gear 5 on shaft c). Gears 2 and 3 have a module of 3 mm, and gears 4 and 5 have a module of 2 mm. Pressure angles are all 20 degrees. Solve for the magnitude of the force that shaft b must apply to gears 3 and 4 to maintain static equilibrium in the figure shown here. Co 18T- 327 X 18T 5 -48T
The turning-moment diagram for an engine consists of two isosceles triangles each with a height equivalent to a torque of 16kNm. The bases of the triangles lie between ? = 0 ? and ? = 180? , and ? = 180? and ? = 360? Sketch the turning-moment diagram and add the mean torque line. If the engine is to rotate with a mean speed of 130 rpm, calculate the following: the power developed the mass of the flywheel having a radius of gyration 1.1m to restrict the fluctuation of speed to +1.5% of the mean speed. Demonstrate which would be most effective to reduce the fluctuation of speed, a change in diameter of or a change in mass of the flywheel.
The two 1-kg gears A and B are attached to the ends of al 3-kg slender bar. The gears roll within the fixed ring gear C, which lies in the horizontal plane. (Figure 1) Figure 150 mm 400 mm- 150 mm Part A If a 10-N m torque is applied to the center of the bar as shown, determine the number of revolutions the bar must rotate starting from rest in order for it to have an angular velocity of WAB = 22 rad/s. For the calculation, assume the gears can be approximated by thin disks. Express your answer using three significant figures. ►View Available Hint(s) the number of revolutions = Submit Provide Feedback VAE vec ? Next >
Gear A on the drive shaft of the outboard motor has a radius ra=9 in. and the meshed pinion gear B on the propeller shaft has a radius rg-53 in. The point P is located on the propeller's tip at a distance 4 in. from the neutral axis of the propeller's shaft. نند P B At the beginning of the propulsion, the drive shaft rotates with an angular acceleration a = A. t 2.0 rad.s2 where t is in seconds. what must be the value of A to have, while starting from rest, vp=24 in.s¹¹ in 6 seconds ?
The pinion (gear 2 on shaft a) rotates at 635 rev/min clockwise and transmits 1305 W through the idler pair (gears 3 and 4 on shaft b) to the output gear (gear 5 on shaft c). Gears 2 and 3 have a module of 2 mm, and gears 4 and 5 have a module of 3 mm. Pressure angles are all 20 degrees. Solve for the magnitude of the force that shaft b must apply to gears 3 and 4 to maintain static equilibrium in the figure shown here. The figure is not to scale. Please give your answer in units of newtons. geard 615 verimin m₂ = M₁ = 2mm 187 327 187 487 MG M₁ = ₂ = 3mm 0=20° I solved it and дог 692.60 Х សុំ But fr is not correct
The pinion (gear 2 on shaft a) rotates at 635 rev/min clockwise and transmits 1305 W through the idler pair (gears 3 and 4 on shaft b) to the output gear (gear 5 on shaft c). Gears 2 and 3 have a module of 2 mm, and gears 4 and 5 have a module of 3 mm. Pressure angles are all 20 degrees. Solve for the magnitude of the force that shaft b must apply to gears 3 and 4 to maintain static equilibrium in the figure shown here. The figure is not to scale. 187 327 487
Three Wheels. Three rubber wheels are mounted on axles so that they make tight contact with each other and their centers are on a line. The wheel on the far left axle is connected to a motor that rotates it at 35.0 r.p.m.; and drives the wheel in contact with it on its right which, in turn, drives the wheel on its right. The left wheel (Wheel 1) has a diameter of d₁ = 0.22 m, the middle wheel (Wheel 2) has d₂ = 0.32 m, and the far right wheel (Wheel 3) has d3 = 0.48 m. (a) If Wheel 1 rotates clockwise, in which direction does Wheel 3 rotate? (b) What is the angular speed of Wheel 3, and what is the tangential speed on its outer edge? (c) What arrangement of the wheels gives the largest tangential speed on the outer edge of the wheel in the far right position (assuming the wheel in the far left position is driven at 35.0 r.p.m)? (d) What is the largest tangential speed on the outer edge of the wheel in the far right position? (a) (b) Angular speed of Wheel 3: (c) Number Tangential speed…
The rod OA rotates clockwise at a constant angular velocity of 0 = (3) rad -. Two pin-connected slider block, located at B, move freely on OA. The curved rod is described by the equationr = (250 · (8 - cos 0)) m. Hint: 1. Remember clockwise rotation is negative velocity. A d3 d1 d2 Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value 01 130 degrees di 0.45 m d2 dz 0.2 m 0.325 m Using cylindrical components, a. Determine the cylinders's radial and transverse components of velocity at the instant shown, vr and b. Determine the cylinders's radial and transverse components of acceleration at the instant shown, a, and ag. c. Determine the cylinder's magnitude of the velocity at the instant shown, v d. Determine the cylinder's magnitude of the acceleration at the instant shown, a
FOR FIG REFER ATTACHED FILE The shaft is massless. A thin attached triangular mass ‘m’ is mounted on the shaft. Rotational speed of the shaft is ω. Neglect weight effect of attached mass. Bearings are at A and B. Take Z- axis along the shaft axis. X- axis is vertically downward. Y – axis is horizontal. Take origin at mid-point on the shaft. Question: Rotate the shaft by 90 degrees and write the bearing reactions at A and B.
1. The 60-lb flywheel has a radius of gyration about its shaft axis of ko = 15 inches. Starting at 1 = 0 with a speed of 90 rpm, the flywheel is subjected to a torque that will stop the flywheel in 10 s. The torque M ramps up from 0 to Mmax in 3 s, then holds steady at Mmar until stopped. What must be the value of Mmar?
Two cylinders rolling together have a speed ratio of 3:1. The center-to-center distance is 30in. Find the diameters of the cylinders if they are rotating in (a) the opposite direction, and (b) same direction.