One end of a uniform 3.80-m-long rod of weight Fg is supported by a cable at an angle of ? = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is ?s = 0.475. Determine the minimum distance x from point A at which an additional object, also with the same weight Fg, can be hung without causing the rod to slip at point A.

A ladder leans against a wall 5 meters above the ground so a homeowner can clear his gutters of leaves from last fall.  The bottom of the ladder just begins to slip when it is 1.7 meters from the wall.  What is the coefficient of static friction between the bottom of the ladder and the ground?

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%

When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total is supported by the force n exerted by the floor on the toes of one foot. A mechanical gravitational force on the body, F 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 = 770 N. (For 0, enter the smaller of the g' two possible values between 0° and 90°.) -Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm a T = R = N = Submit Answer

The truss structure in a Figure Q4a is supported at A and B and has three forces acting vertically at nodes D, E and C, where F₁ = 25 KN, F2 = 75 kN and F3 = 35 kN. The horizontal distance between nodes A and B is d₁= 3.50 m and the horizontal distance between nodes B and C is d₂= 3.50 m. The angle a = = 60°, B = 60° and angle 0 = 30°. α F1₁ d1 3 IB * F2 E d2 Ꮎ F3 с Figure Q4a a) Determine the reactions at RA and Rc and A and C. Give your answers in kilonewtons (kN) to two decimal places. b) Determine the force acting in member AB and clearly state if the member is in compression or tension. Give your answer in kilonewtons (kN) to two decimal places.

One end of a uniform 4.30-m-long rod of weight F is supported by a cable at an angle of = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μ = 0.460. Determine the minimum distance x from point A at which an additional object, also with the same weight For can be hung without causing the rod to slip at point A. m 0 B ✪

One end of a uniform 4.10-m-long rod of weight Fg is supported by a cable at an angle of ? = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is ?s = 0.480. Determine the minimum distance x from point A at which an additional object, also with the same weight Fg, can be hung without causing the rod to slip at point A. ------m

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?