The 23-lb crate is lifted with a constant acceleration of 6.0 ft/s^2 Knowing that the weight of the uniform beam AB is 235 lb, determine the magnitude of the resultant total reaction force on the embedded support A. Neglect the size and mass of pulley B. A -5 ft B 6 ft/s²
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- 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.Motorized moving platform is lifting a car with some acceleration. If the combined weight of the lift platform and car is 2800kg, and the motorized lift weight is 200000kg, determine the maximum acceleration of the platform before tipping occurs. Weight of the platform a=2.1m, b = 4m, c = 4.2m, d = 3m FBD of the lift: Vertical lift platform. center of gravity (car) FBD of the car: a C Too center of gravity (lift)1000 lb -8 ft +2ft A beam that weighs 300 lbs is supported by a roller and pin B and A respectively while being subjected to a force of 1000 lbs. If the pin at A is suddenly removed, determine the beams angular acceleration, the force exerted by support B and the horizontal acceleration just after A is removed. Assume the beam is a slender rod of negligible thickness. Please don't use angle measurements when solving. Use the 3-4-5 triangle to solve, if that makes sense. Thank you! Choutranco impgo tout
- The electric motor is used to pull a train at a maximum constant speed of 60 km/h. This motor has a power of 340 kW. The train is pulled directly up the inclination of 1 in 180. The tractive resistance against the motion is 80 N.1.Draw the free body diagram representing all forces acting on the train2.Calculate the mass of the train.=↑ -7----- mg Sw mg 2. A drone of mass m (shown above) moves with a horizontal velocity v and is propelled by a thrust force ft produced from its propellers. To move, it tilts itself by an angle 0, which causes the thrust force ft to take on a component in the horizontal direction. This forward-directed force is indicated by ff in the diagram above. The drone is also subject to an aerodynamic drag force fa that acts in a horizontal direction and is proportional to forward velocity according to fa= -bv (regardless of 0). (a) Assuming ft acts along the inclined axis of the body, find ff as a function of the tilt angle and ft. (b) Find the necessary thrust ft needed to ensure that lift is balanced by gravity so that the drone does not move vertically. That is, find ft such that its vertical component as shown is equal to mg. Your answer will be a function of 0, g, and m. (c) Give the the small-angle approximations of these two functions when ≈ 0. (d) Suppose the drone has a mass m = 1 kg…3. A 5-kg crate is released from rest at Point A of a 20-kg ramp which is inclined at 40 degrees as shown in the figure below. The lengths of the ramp is 2 m. The interface between the ramp and the ground can be assumed to be frictionless. Use Newton's 2nd Law and the definition of the center of mass to determine the horizontal distance that the ramp has moved when the crate reaches Point B. Neglect the size of the crate. Does your answer depend on the frictional force between the crate and the ramp? e S
- Р. The spring constant k = 700 N/m. The masses ma = 14 kg and mg = 18 kg. The horizontal bar is smooth. At the instant shown, the spring is unstretched and the mass B is moving downward at 1 m/s. How fast is B moving when it has moved downward 0.2 m from its present position? MA -0.3 m- wiww 0.15 m Note: Use conservation of Energy methodsimultaneously. 0 = The robot arm is elevating and extending At a given instant, 0 = 37°, 43 deg/s, 0 = 113 deg/s²,1 = 0.51 m, i = 0.33 m/s, and Ï = -0.40 m/s². Compute the radial and transverse forces Fr and Fe that the arm must exert on the gripped part P, which has a mass of m = 8.8 kg. Compare with the case of static equilibrium in the same position. Assume d = 0.55 m. m 6 SAAREPARA Answers: Dynamic: Fr= i FON, i Static: F₁= FON, iAttached to the rope of length R = 0.5m, the object with mass m = 1kg is rotated clockwise in a vertical plane. Object; The linear speed is 2m / s when it is at point A in the first second, and when the linear speed is 8m / s when it is at point B in the second second, the theta = 127 degrees between A and B is swept. a) Calculate the tensile forces on the rope while the object is at A and B points. b) Calculate the total acceleration vectorially when the object is at point A. (g=10m/s^2, sin37=0.6 and cos37=0.8)
- EXAMPLE: 1.5 m 10. The two uniform 4-kg bars DC and EF are fixed (welded) together at E. Determine the normal force Ng, shear force Vg, and moment Mg, which DC exerts on EF at E if at the instant e = 60° BC has an angular velocity w = 2 rad/s and an angular acceleration a = 4 rad/s2 as shown. D 2 m 2 m e = 60 a-4 rad/s? w- 2 rad/sAn uniform W=14 kg rod is supported by a ball-and-socket joint at A, and by the cord CG that attached to the midpoint G of the rod and by the frictionless wall at B. Given, x=562 mm, d=132 mm and g=9.81 m/s². What is the magnitude of z-component of reaction force at B? Put your answer up to 2 decimal points. 'd' mm 150 mm B 400 mm 'x' mm 22The bar AB is uniform and has a mass of 50.0 kg. At the moment shown, the rod has an angular velocity of 4.00 rad/s and spring is stretched by 0.30 m. The force constant of the spring is 25.0 N/m.a) Determine whether or not the bar will reach the horizontal position.b) If the bar becomes horizontal, calculate its angular velocity at that position. If not, calculate the angle the bar makes with the horizontal when it comes to rest momentarily.