A 7.0 kg object is resting on a plane that is inclined at 12° to the horizontal. Complete the labeled FBD for this situation.
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- The weight of the box is W = 90 N and the coefficient of static friction between the box and the floor is u0.65. Neglect the weights of the bars. What is the largest value of the force F that will not cause the box to slip?When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total gravitational force on the body, F, is supported by the force g' n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and 0 when F = n = 780 N. (For 0, enter the smaller of the two possible values between 0° and 90°.) -Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm b T = R =A man drags a 67-kg crate across the floor at a constant velocity by pulling on a strap attached to the bottom of the crate. The crate is tilted 25° above the horizontal, and the strap is inclined 61° above the horizontal. The center of gravity of the crate coincides with its geomentrical center, as indicated in the figure. Find the magnitude of the tension in the strap. 0.90 m 0.40 m 0 25⁰ 61%
- 1. The figure shows a horizontal steel beam with mass M = 500 kg and length L = 2.0 m held against a vertical wall by a taut cable with 0 = 60°. A ball with mass m = 200 kg is attached via a short cable at a distance x 1.5 m from the wall. = a. Draw an extended force diagram for the steel beam, drawing the direction of the forces and the location of the forces acting on the beam. Ꮎ X m b. Using the contact point between the wall and the beam as your pivot point for torque calculations, balance the torques created by all the forces acting on the beam to determine the magnitude of the tension force that the cable exerts on the beam. C. Balance the forces in the x- and y-directions to determine the x- and y-components of the force that the wall exerts on the beam.A constant force Fa pushes a 22.5-kg box across a rough horizontal surface. The magnitude of Fa is 185 N and the force is inclined at an angle of θ = 30.0° below the horizontal. The coefficient of kinetic friction between the box and the surface is μk = 0.500. What is the magnitude of the box's acceleration?When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total gravitational force on the body, F, is supported by the force n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and e when F, = n = 675 N. (For e, enter the smaller of the two possible values between 0° and 90°.) Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm T = N R = N Need Help? Read It
- A large crate is supported on wheels. The wheels can be locked into position to prevent rotation. The weight of the crate is 150 lb and the coefficient of static friction between the floor and the crate wheels is 0.35. A force P is applied as shown to move the crate to the right. If all the wheels are locked to prevent rotation, determine: a) The magnitude of force P required to move the crate to the right b) The largest value of height h to prevent the crate from tipping over. P A a -30%3. The force F required to move a box by pulling on an attached rope that forms an angle w with the horizontal is given by fmg F(w) = cOSw + f sin w where f, m, g > 0 are all constant. (a) Show that the angle wo that minimizes the required force to set the box in motion is given by arctan(f) (b) Show that this minimal force F(wo) is proportional to (a constant multiple of)What is the magnitude of force F₁ for equilibrium? 132.6 N 402 N 150 N 300 N 17.7 N 200 N F2 30°f 30° 100 N Z 25 24 F₁ 300 N y
- A uniform plank of length 2.00 m and mass 31.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 715–N person is d = 0.500 m from the left end. magnitude of T1 N magnitude of T2 N magnitude of T3 NB 60° Figure 3 L A 5. A beam AB of length 10m and negligible mass leans against a wall at an angle of 60° to the horizontal. It is held at B by a string as shown. There is no friction at either of the ends A or B. A koala of mass M = 10 kg climbs up the beam from B. If the breaking tension of the string is 40 N, find the distance reached by the koala just before the string cannot support any more weight and breaks.A fence post of mass m = 8 kg supports a fence with three lengths of barbed wire. The bottom wire is a distance d = 0.35 m from the ground and each wire is a distance 0.35 m above the previous one. Each of these three wires has the tension on it. For this problem, assume that the force exerted by these wires is purely horizontal. An additional guy wire is used to keep the pole upright with a tension of Fa = 490 N. The guy wire attaches to the post at a point h = 0.86 m above the ground and makes an angle of θ = 45 with respect to the horizontal. Write an expression for the tension in any one of the three fence wires. What is the normal force that the ground exerts upward on the post?