Shown below is a leg in a cast and supported by two cables. The combined weight of the leg and cast is 150N acting at the center of mass as shown. The angle of the ankle cable is 60 degrees from the horizontal and the angle of the knee cable is 45 degrees from the horizontal, as shown. Find the cable tensions Tk and TA. Cable 45° 25 cm 15 cm 60 Cast W = 150 N

It is common to hang objects on doorknobs and over-­the-­door hooks. There is a limit to the amount of weight that a door can hold because of the forces exerted on the hinges. A door of height h = 2.5 m and width h/2 has a mass of M = 36 kg. The mass is distributed uniformly, so the center of mass is located at the geometric center of the door. One hinge is located a distance h/4 from the top of the door. The second hinge is a distance h/4 from the bottom of the door. Refer to (a) in the figure. The door’s weight is supported entirely by the two hinges and each hinge supports half of the weight. In other words, the vertical force exerted by each hinge is exactly one half of the total weight, including any additional load. For this problem, take the positive y-­direction to be directly upward and the positive x-­direction pointing from the hinge side of the door to the knob side.  1.) calculate the force, with its sign in Newtons that the upper hinge exerts on the door in the x axis.…

A shaft of mass 5•097 t is lifted by two chains from a crane hook. The length of each chain is 4 m and their connections to the shaft are 4 m apart. If the centre of gravity of the shaft is 1•25 m from one of the connections, find the tension in each chain.

Calculate the forces acting on the picture. With the step, Im needed in 30-45 minutes thank u

John is pushing his daughter Rachel in a wheelbarrow when it is stopped by a brick 8.00 cm high (see the figure below). The handles make an angle of 0 = 16.0° with the ground. Due to the weight of Rachel and the wheelbarrow, a downward force of 411 N is exerted at the center of the wheel, which has a radius of 18.5 cm. Assume the brick remains fixed and does not slide along the ground. Also assume the force applied by John is directed exactly toward the center of the wheel. (Choose the positive x-axis to be pointing to the right.) ..(a.).What force.(in N) must John apply along the handles to just start the wheel over the brick? Enter a number. differs from the correct answer by more than 10%. Double check your calculations. N (b) What is the force (magnitude in kN and direction in degrees clockwise from the −x-axis) that the brick exerts on the wheel just as the wheel begins to lift over the brick? magnitude KN direction o clockwise from the -x-axis

A 10m light rod AB is horizontally placed. One end of this rod is pin supported at point A, and the other end B is connected with a rope BD, which is inclined 30° with respect to x axis. A 10kg box hangs at point C of this rod. Which of the following solutions for the tension force in rope BD is CORRECT? (g=9.8m/s²) O O O A TBD = 117.6 N TBD = 196 N TBD = 169.7 N Don't Know TBD = 98.0 N 6m ► 4m 10kg B D 30°

A truck bed cargo shell has a rectangular glass window that is held up by two strut pistons. Assume the glass window is 0.483 m long and has a mass of 11.3 kg. Each piston is connected to the window 0.153 m from the glass' pivot point and makes an angle of 0, 22.5° with the glass. A mass-free rope is attached at the end of the glass making an angle of 62 = 43.5°. A box with mass, m, hangs from the end of the rope. Each of the pistons can exert a force of 228 N when fully extended. a) Find the maximum mass the box can be before the glass window begins to close. b) Find the tension in the rope. pivot point glass 02 camper rope shell 01 pistons (2)

The uniform plate has a weight of W = 450 lb. Suppose that F= 250 lb. The plate is supported by cables A, B, and C as shown below. Determine:  A) The tension in the supporting cable A.  B)  The tension in the supporting cable B.  C)  The tension in the supporting cable C.

Three masses are attached to a 100-meter long beam as shown below. The mass of the bea, is 210 kilograms and the masses m1 and m3 are valued at 50 kilograms and 300 kilograms, respectively.  Find the normal reaction force at the fulcrum that balances the system in SI units.

A man holds a 187-N ball in his hand, with the forearm horizontal (see the figure). He can support the ball in this position because of the flexor muscle force M, which is applied perpendicular to the forearm. The forearm weighs 18.5 N and has a center of gravity as indicated. Find (a) the magnitude of M and the (b) magnitude and (c) direction (as a positive angle counterclockwise from horizontal) of the force applied by the upper arm bone to the forearm at the elbow joint. Upper arm bone Elbow joint 0.0510 m+ Flexor muscle -0.0890 m -0.330 m-