4. Pulleys 1 and 2 of the rope and pulley system shown are connected and rotate as a unit. The radii of pulley 1 and 2 are 100 mm and 300 mm, respectively. Rope A is wrapped around pulley 1 and is fastened to pulley at point A'. Rope B is wrapped around pulley 2 and is fastened to pulley 2 at point B'. The rope is continuou: over pulleys 3 and 4. Determine the tension T in the rope, required to hold body W in equilibrium, if the mas of body W is 225 kg. B'A' TV C B
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- PROBLEM 2: The crank shown is free to rotate at B about the x-axis only. Given the following dimensions: x1 = 53 cm x2 = 25 cm Y₁ = 74 cm 2₁ = 29 cm A 100-N force is applied at A with the following spatial angles: From positive x-axis: a = 64° From positive y-axis: B = 119° It is known that the angle from positive z-axis is obtuse, 90° ≤ y ≤ 180⁰ Required: 1. Determine the moment about B due to the applied force at A. INCLUDE (-) NEGATIVE SIGN IF NECESSARY, FOR THIS ITEM ONLY. MA = k N-m use 2 decimal places 2. Determine the component of the force along line AB. 1+ 8= j+ PAB = Nuse 2 decimal places 3. Find the angle between the force applied and its component along line AB. use 3 decimal places4. The figure below shows a bulldozer. Notice that the track on the bulldozer (the tread that wraps around the wheels) is kinematically similar to the conveyor belt in the previous problem. D В E Suppose the person operating the bulldozer knows the distance between the two main wheels on the side of the vehicle. She looks out the window and, with the aid of a stopwatch, notices that the track is moving forward from her perspective at a constant speed v. Furthermore, as the bulldozer drives forward, the track does not slide or skid on the ground. In answering the sub-questions below, use the idea contained in Equation (2) and express answers in terms of basis (ê1, ê2). You may utilize results from Problem 3. (a) Using the terminology in (2), what does the quantity v directly represent? (b) Let C be a point on the track in contact with the ground. What is the velocity of point C as observed by a stationary person on the ground watching the bulldozer? Why? (c) Find the velocity of point…EXERCISE 3.16 Collar A is welded to the vertical shaft, so is constant. The rectangular plate is welded to shaft BC, and xyz is a coordinate system that is attached to the plate. Splines prevent shaft BC from rotating relative to the collar, so p = 0, in which case the yz plane is always situated in the vertical plane. The system is rotated by y = 75⁰ about the vertical axis; the value of 0 is 30°. Determine the rotation transformation from relating components relative to the initial and final xyz coordinate system. From this result determine the angle between the initial and final orientations of the y axis. (Hint: take point C as the origin of frame XYZ that is coincident with frame xyz before the rotation. Rotation axis Z' passes point C and is vertically upward. X' coincides with X.) squ
- Find the degrees of freedom of the following two different links Pin in slot а. b.perpendicular to the page through the point o. (Let counterclockwise torque be positive and let forces to the right and up be positive. Use the following as necessary: the forces R, Write the necessary equations of equilibrium of the object shown in the figure below. Take the origin of the torque equation about an axis RFF, and F the length l of the object; and the angle e that the object makes with the horizontal.) EF, = = 0 Fy =0 Στ. =0 Need Help? Read ItSolve it correctly please. I will rate accordingly with 4votes.
- 1. In lecture I focused on a horizontal mass-spring system so we could ignore gravity, but in practice it's much easier to build a vertical mass-spring system. In the figure below, we can see a suspended spring with spring constant k both before and after a mass m is hooked to it. Y Yo yo is the equilibrium height of the spring (without the mass) and in the figure y = 0 is set at the ground. a) Using the coordinate system in the figure, show that Newton's second law for the hanging mass-spring system leads to the following differential equation: d²y dt² k (y - Yo) - g m b) Now define a new coordinate, y', related to y by a constant shift: y = y' + C, where C = constant. Show that if you choose the right value of C, Newton's second law is identical in form to a mass-spring system without gravity. What is the period of the system? c) Effectively, gravity just shifts the equilibrium position of the system, but the system still undergoes simple harmonic motion. What is the net force on the…Hello, I know the answer is v or x only but I want to know how to get to that answer. Please help.Please draw the figure. Thank you so much.An engine flywheel and a clutch plate are both connected to a transmission shaft. Let the moment of inertia of the flywheel be I1 and its angular velocity ω1, and let the moment of inertia of the clutch plate be I2 and its angular velocity is ω2. The two discs have then been combined by forces which are applied at their axes of rotation so as not to cause any torque. The discs then reached a common final angular velocity after rotational collision. Find the expression for the final angular velocity.
- The figure below shows the positions of the Centers of mass of the three disks on a rotating shaft. m. =6 kg, M2=4 kg, m3=5 kg, r-=100 mm, r2=200 ver3 = 300. B to dynamically balance the shaft it is desirable to place balancing masses of 3 kg each in their planes. Balancing find the positions of the center of mass (004) of mass A in the unit of cm and degrees. The D value in the figure is 200 mm. mlg my m1 37 53 200 mm 150mm 200 mm ma Please choose one n2. (A) Sketch the kinematic diagram of the following mechanism shown and give brief description on how each link move relative to each other. (B) compute the degree of freedom. (C) Determine the location of all revolute pairs shown in the figure as revolute pairs J and K moves to J' and K'. Use the actual size based on the figure below. z, OVERHEAD LOADERQ4/ Reduce the system shown below by using Masson's method: G₁ -H₁ H10 G₂ H₂ -H₁ G3 H₂ G₁ -H4 Hs -H, GG G₁ 3854 Ho -H₂ Gs Hs