only part e needs to be answered Problem 1: A uniform thin rod of mass m = 4.4 kg and length L = 1.2 m can rotate aboutan axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes areF1 = 4.5 N, F2 = 4.5 N, F3 = 12.5 N and F = 19.5 N. F, acts a distance d= 0.28 m from the centerF,45°of mass60°F.3Part (a) Calculate the magnitude t, of the torque due to force F1, in newton meters.1 = 2.7/ Correct!Part (b) Calculate the magnitude tz of the torque due to force F2 in newton meters.12= 0.89/ Correct!Part (c) Calculate the magnitude t3 of the torque due to force F3 in newton meters./ Correct!13 =0Part (d) Calculate the magnitude t4 of the torque due to force F, in newton meters.1=0 v Correct!Part (e) Calculate the angular acceleration a of the thin rod about its center of mass in radians per square second. Let the counter-clockwisedirection be positive.a =sin()cos()tan()89HOMEcotan()asin()acos()E AL46atan()acotan()sinh()123cosh()tanh()cotanh()ENDDegrees O RadiansBACKSPACE DELCLEARSubmitHintFeedbackI give up!

Given question belongs to the Engineering Mechanics subject. Can solved by using formula, 》 Net…

Answered: Problem 1: A uniform thin rod of mass m…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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A crate of mass 451 kg is being lifted by the mechanism shown in the figure. The two cables are wrapped around their respective pulleys, which have radii of 0.600 and 0.200 m. The pulleys are fastened together to form a dual pulley and turn as a single unit about the center axle, relative to which the combined moment of inertia is 51.0 kg · m2. The cables roll on the dual pulley without slipping. A tension of magnitude 2150 N is maintained in the cable attached to the motor. Find (a) the angular acceleration of the dual pulley and (b) the tension in the cable connected to the crate.
An oversized yo-yo is made from two identical solid disks each of mass M = 1.90 kgand radius R = 10.9 cm.The two disks are joined by a solid cylinder of radius r = 4.00 cm and mass m = 1.00 kg as in the figure below. Take the center of the cylinder as the axis of the system, with positive torques directed to the left along this axis. All torques and angular variables are to be calculated around this axis. Light string is wrapped around the cylinder, and the system is then allowed to drop from rest. Answer these parts: (g) Eliminate ? from the rotational second law with the expression found in part (d) and find a symbolic expression for the acceleration a in terms of m, M, g, r and R. a = (h) What is the numeric value for the system's acceleration? m/s2(i) What is the tension in the string? N(j) How long does it take the system to drop 1.17 m from rest? s
The beam, uniform in mass, M = 47.6 kg and length L = 10.2 m, hangs by a cable supported at point B, and rotates without friction around point A. On the end far of the beam, an object of mass m = 24.3 kg is hanging. The beam is making an angle of θ = 30.9° at point A with respect to the + x-axis. The cable makes an angle φ = 21.1° with respect to the - x-axis at B. Assume ψ = θ + φ. a. Enter an expression for the lever arm for the weight of the beam, lB, about the point A. b. Find an expression for the lever arm for the weight of the mass, lm. c. Write an expression for the magnitude of the torque about point A created by the tension T. Give your answer in terms of the tension T and the other given parameters and trigonometric functions. d. What is the magnitude, in newtons, of the tension in the cable? e. Enter an expression the horizontal component of the force, Sx, that the wall exerts on the beam at point A in terms of the tension T, given parameters, and variables…
Determine the additional mass required for stable equilibrium. Meter stick: xcm = 50.0 cm, m = 150.0 g. Hanger clamp: x = +0.0 cm, m = 16.5 g. (see the figure below)
Please draw the picture of this problem and solve it. A uniform rigid disk has mass M and radius a, and a uniform rigid rod has mass M' and length b. The rod is placed along the axis of symmetry of the disk with one end in contact with the disk. Find the forces necessary to pull the disk and rod apart.
At some point, the wheel will turn as shown in the figure. Data: length of the bar = 500 mm, gyro radius of the bar = 100 mm, mass of the bar = 3 kg, mass of the wheel = 4 kg. Calculate for this moment: a) the acceleration of the sleeve at A, b) the angular acceleration of bar AB, c) the kinetic energy of bar AB.
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: (a) The magnitude of the mass in plane E and its angular position relative to the mass in plane A (b) The distance of the plane E from plane A (c) 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 opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible solution.
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. USING THE METHOD OF DRAWING m*r and m*r*l diagram 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 opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible…
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 PS – Use graphical methods to solve the balancing problem
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 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 opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible solution. PS – Use graphical methods to solve the balancing problem
The system in the Figure is in equilibrium. A mass M1 = 246.0 kg hangs from the end of a uniform strut which is held at an angle theta = 40.0o with respect to the horizontal. The cable supporting the strut is at angle alpha = 24.4o with respect to the horizontal. The strut has a mass of 58.2 kg. Find the magnitude of the tension T in the cable. Find the magnitude of the horizontal component of the force exerted on the strut by the hinge? Find the magnitude of the vertical component of the force exerted on the strut by the hinge?
A spring with a constant equal to 15 KN/m is connected to points C and F of the mechanism shown in the figure. Neglecting the weight of the spring and the mechanism, determine the force on the spring and the vertical displacement of point G when a force 120 N vertical, directed downward, applies a) at point F

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