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- The 40-kghomogeneous disk is placed on a frictionless inclined surface and held in equilibrium by the horizontal force P and a couple C (C is not shown on the figure). Find P and C.Determine the required mass (in kg) of the suspended cylinder then find the magnitude of the resultant reaction forces (in kN) at support A, if the tension in the chain wrapped around the freely turning gear is to be T=2.2 kN. The cable hanging the cylinder is connected to AB at point B. Ignore the weight of the cable, chain and pulley, and also ignore the weight of members. 450 30° 300 mm TSituation 6 - The 360-N box is held in place on the smooth inclined surface by the rope AB. Determine the following: 16. The tension in the rope in N. Answer: 318.44 N 17. The normal force exerted on the box by $30 the inclined surface, in N. Answer: 390.62 N 509 Flgure AP-4.16
- A smart phone is sitting in a docking station. The docking station has a mass of 510 g and the phone, 85 g. Determine the reaction forces at the two supports. 65 mm 70 mm 60° 150 mm (Express your answers using two significant figures.) FA = N FR = N1:57 P O L N{ l 32% MENG250 - Pract... / Z 4/8 5-27. As an airplane's brakes are applied, the nose wheel exerts two forces on the end of the landing gear as shown. Determine the horizontal and vertical components of reaction at the pin C and the force in strut AB. 30 400 mm -20° 600 mm 2 kN 6 kNThe figure shows the finishing position of a body builder's arm who is performing a standing lateral raise with a 5.00-kg dumbbell. This is an excellent exercise that isolates the lateral deltoid muscle. The weight of the arm itself is 42.5 N, and it acts at point A in the figure. Given the information shown, and the fact that 0 = 9.74°, (a) find the magnitude of the tension force in the deltoid (F₁) and (b) the normal force from the shoulder joint (F acting on the humerus bone that holds the arm in this equilibrium position. S (a) Number (b) Number i Fa 0.075 m O 12⁰ 0.250 m Units Units W arm 0.510 m 5 kg WA
- The mass center G of the 1540-kg rear-engine car is located as shown in the figure. Determine the normal force under each tire when the car is in equilibrium. State any assumptions. Answers: GO 1283 mm-871 mm Normal force under each of the front tires: Nf= Normal force under each of the rear tires: N₁ = i 3054 i 4499 ! N NThe figure shows the Russel fracture traction device and a mechanical model of the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The combined weight of the leg and cast is W=180 N. The horizontal distance between points A and B where the cables are attached to the leg is L=100 cm and the vertical distance is d=5 cm. Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A (3L/4= 75 cm). The angle that cable 2 makes with the horizontal is measured as β=30°. Accordingly, in order for the leg to remain in balance in the shown position; a) Find the tensile force T1 in cable 1. (Write your result in N) Answerb) Find the tensile force T2 in cable 2. (Write your result in N) Answerc) Find the angle α of cable 1 with the horizontal. Response2.0 m 100 kg 2.0 m 0.5 m 1.5 m 1.5 m The pulley at E is frictionless. Point B is a pinned connection; support A is a fixed support. The pin at C is in a smooth slot. s in: Determine the magnitude of of the x-component of the reaction force at A, Ax= N. Determine the magnitude of of the y-component of the reaction force at A, Ay= N. Determine the magnitude of of the external moment applied at A, MA= Nm. O O :
- The homogeneous box has mass m. The magnitude of force P is slowly increased until motion occurs. Motion could occur as slipping or tipping and you must decide which occurs first. Find the value of P which first causes motion. A 26° d He= 0.53 B 1.6 d Answer: P = i mgThe homogeneous box has mass m. The magnitude of force Pis slowly increased until motion occurs. Motion could occur as slipping or tipping and you must decide which occurs first. Find the value of P which first causes motion. P 30° Ho= 0.40 B 2.2 d Answer: P = i mgA puck weighs 10 lb and rests on the center of the frictionless surface of the ramp supported in equilibrium by ropes AC and BC. Determine the normal force the ramp exerts on the puck as well as the tension in each of the two ropes. В A d Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 38.0 in 41.8 in 14.6 in 26.3 in 43.7 in f 8.36 in 36.9 in The normal force acting on the puck is pounds The tension in rope AC is pounds The tension in rope BC is pounds