FACULTY OF SCIENCESQUESTION NO. 2:In Figure 2, a block m; (m; =1.0 kg) on a frictionless inclined surface is connected to anotherblock m; (m,-2.0 kg). The pulley is massless and frictionless. An upward force of magnitudeF=6.0 N acts on m;, which has a downward acceleration of 5.5 m/s. What are(a) the tension in the connecting cord(b) the inclination angle of the plane, B?(c) Discuss the motion of the system in case B-0.DEPARTMENT OF PHYSICSFigure 2

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Answered: FACULTY OF SCIENCES QUESTION NO. 2: In…

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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An object, m1 with a mass of 10.0 kg placed on a frictionless, horizontal table. It is connected to a string that passes over a pulley and then is fastened to a hanging object, m2 with a mass of 14.0 kg. a. The tension in the string is? b. Find the magnitude of the acceleration of the objects
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The pulley assembly shown in the figure weighs 150 lb and has a centroidal radius of gyrationof 2 ft. The blocks are attached to the assembly by cords wrapped around the pulleys.Determine the acceleration of each body and the tension in each cord.a. Identify the direction of motion in the problem. 1)b. Set up the equations of motion that is required to solve the problem. SO1.5)c. Solve for the unknown variables by substituting the given in the equations of motionthat has been set up previously.
igure 2. Assume that the rod is massless, perfectly rigid, and pivoted at point P. When the rod is perfectly horizontal, the angle 0 = 0, the displacement y 0, and the springs are in neither tension nor compression. Gravity acts on the system (e.g. on mass M). We assume that y is a small displacement. A mass M is attached at the end of the rod. DE only 225 Your tasks: X k 0 3k a F a M y A Derive an equation of motion for the system in terms of the angular displacement 0, and its derivatives (you should not have y or its derivatives in this equation.) B Derive an equation of motion for the system in terms of the displacement y, and its derivatives (you should not have or its derivatives in this equation. C Assuming there is no external actuator force F acting on the system, write down the total energy H of the system in terms of 0,0 and element constants. Derive an expression for the time derivative H of the total energy. D Transform the equation from part B, which is in y, to another…
weighs 60 N on Earth. (3). A system consists of a pulley (vertical wheel) that is only allowed to rotate (spin). A cord is passed over the pulley and at each end there is a mass attached to the end of the cord. The mass attached on the left is m, =0.6 kg and at the right the mass is m2 = 0.8 kg. a) Calculate both the Tension in the cord and the acceleration of the system. b) What are the accelerations of both masses, if you were to cut the cord? Neglect the friction between cord and wheel,
You have been selected as a potential intern in a construction company in Aqaba, Jordan. For evaluation purposes, you were asked to answer the following question. Two wooden boxes are moving on an inclined surface as shown in Figure 2. Wooden Box A Non- Frictional Surface Non- Frictional Surface 60 Figure 2: Wooden Baxes Answer the following questions using the D'Alembert's principle. Note that the mass of box A is M1 and the mass of box B is M2. Wooden Box
In the system shown in the figure, mA = 2 kg and mB = 5 kg.the mass is connected to each other by rope. A 12 N Fforce is applied to body A at an angle of 10 °.There is only friction between body B and the inclined planeand the kinetic coefficient of friction is 0.3. a) Draw the free body diagram of each object. b) Find the acceleration of the system. g = 9.8 m / s ^ 2, sin (37 °) = cos (53 °) = 0.60, cos (37 °) = sin (53 °) = 0.80, sin (10 °) = 0.17,cos (10 °) = 0.98
You are moving to a new place and to go faster, you are pushing with a force P, two boxes at the same time. Your homogenous box 1, on the top has dimensions I₁=1.5m, h₁= 1.6m and a mass of m₁=12kg Your homogenous box 2, on the top has dimensions 1₂=2.4m, h₂= 2.8m and a mass of m2=19kg The coefficient of static friction between the 2 boxes is $12 = 0.34. The coefficient of static friction between box 2 and the ground is SG2 =0.25. Analyze the 4 scenarios: • Box 1 tips on box 2. • Box 1 slides on box 2. . P • Boxes 1 & 2 tip together. • Boxes 1 & 2 slide together on the ground. ls + Gi + G₂ W₂ |h₂ T Find the minimum for P for all 4 scenarios (include FBD and equations of equilibrium for each scenario), and conclude which scenario will occur first and why. In the box below, enter the required force P to strat motion (either tipping or slipping) in N with one decimal.
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4) This Atwood's machine includes two blocks connected by a cable, going over a pulley without slipping. Block 1 (30.0 kg) is connected to a spring (70.0 N/m), and slides on a horizontal surface with a coefficient of kinetic friction of 0.0100. Block 2 is 50.0 kg, and hangs vertically from the cable. The pulley is a disk with a radius of 0.500 m, and its moment of inertia about the center of mass is 10. 0 kg-m“. a) Draw the three free body diagrams, and write out Newton's 2nd Law for each. b) Derive the equation of motion (inhomogeneous 2nd order ODE) for this system. c) Use u-substitution to rewrite this as a homogeneous 2nd order ODE. d) Assume the position x as a function of time t is of the form x(t) = A cos (wt + p) I disk for undamped natural frequency w, phase angle P, and amplitude A. The initial conditions are: x(0) v(0) = -3. 00 m/s. Solve for the position of the mass as a function of time (you need to solve for w, 4, and A). = 2. 00 m and Mz
what is the tension T1 in a cord attaching a baby to a scale? what is the tension T2 in the cord attaching the baby to the ceiling? The mass of a rocket sled is 2100KG and the force of friction opposing the motion is 640N. The thrust for the sled is 25900N. What is the acceleration in Metres per second second? A 1140 KG artillery shell is fired from a battleship,.W,hile it is in the barrel of the gun, it experiences an acceleration of 2.2 x 10^4 m/s^2. what net force is exerted on the artillery shell before it leaves the barrel of the gun in Newtons. What is the magnitude of the force exerted on the ship by the artillery shell in Newtons?

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