Draw a free body diagram. Include the free body diagram and your calculations in your work thatyou submit after the quiz.RCAA pulley has a negligible mass (that means, the radius is not relevant). It is supported with a pin atthe center (and is free to rotate). A rope goes over the pulley. Block A, which has a mass of 7.388 kgis connected to one side of the rope. On the other side, Block B, with a mass of 17.455 kg isconnected.The system is released from rest.What is the speed of block B, after B has traveled 0.350 m? Please enter a positive value in m/s (butwithout units) regardless of the direction of the motion of B.

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Answered: A pulley has a negligible mass (that…

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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solve using equations of dynamics and also using the conservation of energy, the speed that bodies of mass m1 and m2 have after they have traveled a distance "d". Obviously, they must consider the pulley with mass M and radius R. It must be solved using both methods. Taking into account that the masses are equal and the angles are different.
Determine the time required to accelerate a countershaft of rotating mass 520 kg and radius of gyration 150 mm to the full speed of 360 rpm from rest through a single clutch. The internal and external radii are 120 mm and 180 mm. Take friction coefficient as 0.3 and the spring force (W) as 660 N. Assume that only one side of clutch is effective.
2.) Figure (a) below shows a time variation of the force (P) which is applied on a block which weighs 25 lb as shown in Figure (b). Assume that the block is initially at rest and μk = μs = 0.15 a.Find the time at which the body start to move b.Find the velocity of the body after 3 seconds.
Problem 2 A load is to be raised 12 ft by the hoisting system shown, developed by ASCE Club students to lift various loads to the ceiling of the Construction Materials Laboratory. Assume gear A is initially at rest, then accelerates uniformly to a speed of 110 rpm in 5 s, and then maintains a constant speed of 110 rpm. Gear A has radius A 4.0 in, gear B has radius B = Drum C rotates with gear B. = 22 in, and drum C has radius rc = 18 in. Determine: (a) the number of revolutions executed by gear A in raising the load, (b) the time required to raise the load to 12 ft. TB B с Load rc
2m O m. dz None of them m₂ Im 03 * d₁, d₂ and ₂ are the joint variables For the robot above, please determine K3 (the kinetic energy of Link #3) K3 = 1/2 (d ₂ ) ² + ²/2 (03) ² © K3 = ½ (d₁ ) ² + ½ (d₂ ) ² + ½ (03) ² K3 = ½ (di + d₂ ) ² + ³2 (03) ² K3 = ½ (d₁ + d₂ ) ² + ½ (03) ² m₂ = m₁ = m₂ = M₁₂ = 1 kg The moment of inertia of the last link is 3 kg. m². The mass centers are located on the middle point of each link.
The total weight of the go-cart and driver is 290 lb. The location of their combined center of mass is shown. The rear drive wheels together exert a 28 lb horizontal force on the track. Neglect the horizontal forces exerted on the front wheels. Assume the go-cart accelerates from rest to the right. (Figure 1) Part A What is the magnitude of the go-cart's acceleration? Express your answer with the appropriate units. HA ? Value Units a = Submit Request Answer • Part B What normal force is exerted on the tire at A? Express your answer with the appropriate units. ? NA = Value Units Submit Request Answer Part C What normal force is exerted on the tire at B? Express your answer with the appropriate units. Figure HÀ NB = Value Units Submit Request Answer 15 in < Return to Assignment Provide Feedback 6 in 16 in 60 in P Pearson
In a satellite model for a science project, given the masses of the three satellites m=1.8 kg, mg= 4 kg, and m.=5 kg that are connected with massless rods, joined at the point the rotation axis is passing through. The satellites have the distances rad R=1.5 m, R = 1 m, and Rc=2 m, from the rotation axis. The system rotates with an angular speed w = 2.7 mA RA RB RC mc 1. Calculate the moment of inertia I; for this model: /, = kg m2 m2 kg 2. Calculate the magnitude of the angular momentum L, = 3. Calculate the rotational kinetic energy K, = J 4. As the system is rotating counter-clockwise the direction of the vector is The mass mc was not properly glued and breaks away during the rotation. 1. Calculate the moment of inertia /f for this model now. If= |kg m2 2. Using the conservation of angular momentum, calculate the angular speed wf after the mass m, has broken away during rad the rotation. Wf= 3. Calculate the rotational kinetic energy in this situation: K=
A block of mass m₁ is suspended from the ceiling with a spring k and damper b. Attached to the block is a massless rod of length L. Affixed to the end of the rod is a point-mass of mass m₂. Gravity is acting in the direction indicated in the figure. Use the energy method to set up the energy expression you would use to calculate the equations of motion for the system. Hint: be sure to decompose the velocity of the pendulum into horizontal and vertical components. DO NOT CALCULATE THE EQUATIONS OF MOTION, only setup the energy expression. x(t) b 7 m₁ e(t) (m₂
Block A rests on a horizontal tabletop. A light horizontal rope is attached to it and passes over a pulley, and block B is suspended from the free end of the rope. The light rope that connects the two blocks does not slip over the surface of the pulley (radius 0.080 m) because the pulley rotates on a frictionless axle. The horizontal surface on which block A (mass 2.50 kg) moves is frictionless. The system is released from rest, and block B (mass 5.00 kg) moves downward 1.80 m in 2.00 s. A)What is the tension force that the rope exerts on block B ?B)What is the tension force that the rope exerts on block A ?
Figure 2 В A Block A is hanging from a massless string which runs over a massless and frictionless pulley and connects to Block B. Block B slides over an inclined plane with ordinary kinetic friction. The plane under block B is inclined at an angle theta = 0 away from vertical. The other side of Block B is connected to another massless string which runs over another massless and frictionless pulley to connect to Cart C. Cart C rolls without friction over a plane which is inclined at an angle of phi = y away from vertical. C
Torsional springs provide a simple propulsion mechanism for toy cars. When the rear wheels are rotated asif the car were moving backward, they cause a torsional spring (with one end attached to the axle and the other to thebody of the car) to wind up and store energy. Therefore, a simple way to charge the spring is to place the car onto asurface and to pull it backward, making sure that the wheels roll without slipping. Note that the torsional spring canonly be wound by pulling the car backward; that is, the forward motion of the car unwinds the spring.Let the weight of the car (body and wheels) be W = 5 oz, the weight of each of the wheels be Ww= 0.15 oz, and theradius of the wheels be r = 0.25 in., where the wheels roll without slip and can be treated as uniform disks. Neglectingfriction internal to the car and letting the car’s torsional spring be linear with constant kt= 0.0002 ft-lb/rad, determinethe maximum speed achieved by the car if it is released from rest after pulling it…
1. (bold type indicates a vector) An object of mass m = 10 kg may rotate in a vertical plane about the fixed point P under the action of gravity. The distance d from the point P to the center of mass C is d = 0.5 m. The moment of inertia Ie about the center of mass C is unknown. The object starts at rest in the position shown and is then released. At the instant of release the acceleration of the center of mass is measured to be a, = (-5 m/sec²)j (i.e., downward). Use the given information to determine the moment of inertià I, about the center of mass. Use g = 10 m/sec?. gravity w go P (f ixed)

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