Problem #5) A pulley having a moment of inertia of 0.191b-ft-s² is connected to two masses as shown. The masses A and B have linear acceleration of 1.85ft/s² upward and 1.11 ft/s² downward, respectively. Assuming no axle friction, determine (a) the tension forces TA and TB in the cables connecting the masses, and (b) the angular acceleration a of the pulley. Include and present the Free Body Diagram and Inertial Response Diagram as part of the solving process. Hint #1: Hint #2: use mA = 0.1553slugs, and mB = 0.3106slugs treat each body separately 6 in. B 10 lb 10 in. 5 lb

Problem #5) A pulley having a moment of inertia of 0.191b-ft-s² is connected to two masses as shown. The masses A and B have linear acceleration of 1.85ft/s² upward and 1.11 ft/s² downward, respectively. Assuming no axle friction, determine (a) the tension forces TA and TB in the cables connecting the masses, and (b) the angular acceleration a of the pulley. Include and present the Free Body Diagram and Inertial Response Diagram as part of the solving process. Hint #1: Hint #2: use mA = 0.1553slugs, and mB = 0.3106slugs treat each body separately 6 in. B 10 lb 10 in. 5 lb

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

A garage door is mountedon an overhead rail (Fig.).The wheels at A and B have rustedso that they do not roll, but ratherslide along the track. The coefficientof kinetic friction is 0.52. The distancebetween the wheels is 2.00 m,and each is 0.50 m from the verticalsides of the door. The door is uniformand weighs 950 N. It is pushedto the left at constant speed by a horizontalforce F S , that is applied as shown in the figure. (a) If the distanceh is 1.60 m, what is the vertical component of the force exerted on eachwheel by the track? (b) Find the maximum value h can have withoutcausing one wheel to leave the track.
Problem #4) The extremities of a 4-ft rod weighing 50lb (1.5528slugs) can move freely and with no friction along two straight tracks. The rod is released with no velocity from the position shown, resulting in the rod to slide down the incline. The angular acceleration of the rod is a = +2.30k rad/s² and the linear acceleration at point A is 12.5674ft/s to the right. Determine (a) ag, the linear acceleration at point G, and (b) RA and RB, the normal reaction forces at point A and B. Include and present the Free Body Diagram and Inertial Response Diagram as part of the solving process. B=45° G D ft 30°
Prism 1 of mass ml and with angle sits on a horizontal surface On the prism, a bar 2 of mass m2 is positioned. Find the prism's acceleration assuming there is little friction. 2 1
Problem #4) The extremities of a 4-ft rod weighing 50lb (1.5528slugs) can move freely and with no friction along two straight tracks. The rod is released with no velocity from the position shown, resulting in the rod to slide down the incline. The angular acceleration of the rod is a = +2.30k rad/s² and the linear acceleration at point A is 12.5674ft/s² to the right. Determine (a) ao, the linear acceleration at point G, and (b) RA and RB, the normal reaction forces at point A and B. Include and present the Free Body Diagram and Inertial Response Diagram as part of the solving process. B B=45° 4 ft G O D 30°1 A
A homogeneous triangular plate of weight W has wheels at B and C. The wheels are of negligible weight and are confined to move along a horizontal slot. If a force P is applied at point A, calculatethe (a) the plate’s acceleration, the (b) normal force at B, and the (c) normal force at C.
2. The figure shows a system in a vertical plane. A block with mass m is in rest on top of the frictionless horizontal surface of the prism with mass M, at the most right-hand side of the surface. That prism itself is in rest on a frictionless inclined plane. The length of the side of the prism on which the block rests is d. a) What are the accelerations of the block m and of the prism M immediately after they are released from rest? What is at that instance the relative acceleration of the block m with respect to the prism M? b) How long does it take for the block to find itself at the other side of the horizontal surface of the prism, hence, at the most left-hand side of the horizontal surface? What are at that instance the velocities of block and prism? Data: m = 0.7 kg; M = 5 kg; d = 0.8 m 30° d 3 3 M 30%
bucket of mass m is hanging from the free end of a rope whose other end is wrapped around a drum (radius R, mass M) that can rotate with negligible friction about a stationary horizontal axis. The drum is not a uniform cylinder and has unknown moment of inertia. When you release the bucket from rest, you find that it has a downward acceleration of magnitude a. What are (a) the tension in the cable between the drum and the bucket and (b) the moment of inertia of the drum about its rotation axis?
D 3. Two masses, mÃ = 2.0 kg and må = 7.0 kg, are on inclines as shown and are connected by a massless string. The coefficient of kinetic friction between mA and the incline is 0.25, while the coefficient of kinetic friction between me and the incline is 0.35. Assume that mÃ moves up the incline and m³ moves down the incline. a. Draw an FBD for each mass. b. Find the acceleration of the masses. MA 51° mB V 21°
A torque T of 100 N-m is applied to a wheel D having a mass of 50 kg. a diame- ter of 600 mm, and a radius of gyration of 280 mm. The wheel D is attached by a light member AB to a slider C having a mass of 30 kg. If the system is at rest at the instant shown, what is the acceleration of slider C? What is the axial force in member AB? Neglect friction everywhere, and neglect the inertia of the memberAB. (Draw FBDs)
QUESTION D At the position shown in Figure Q3b, homogeneous rod AB of mass 2 kg momentarily stops. Employing the Second Newton's Law, determine the angular acceleration of the rod AB; CAB, the reaction at A and the acceleration of the roller for this instant. Neglect the mass and friction of the roller. A 30° Figure Q3b Rajah S3b 0.2 m B
Q. The upper and lower arms of Porter governor are 0.25 m each and are pivoted 30 mm from the axis of rotation. The radius of rotation Is 130 mm. The mass of the ball and sleeve are 3 kg and 38 kg respectively. Find the effort and power of the governor.
The slender, homogeneous rod shown in the figure below is 3 m in length and has a mass of 12 kg. At the instant shown, the rod has an angle to the horizontal of 60-degrees and an angular velocity of 2 rad/s clockwise. Both walls are smooth and provide negligible friction. At the instant shown, what are the reaction forces at A and B? What is the angular acceleration of the rod's center of mass?