One end of a uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle ? with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.400. A block of the same weight as the meter stick is suspended from the stick, as shown, at a distance ? from the wall. Assume that theta= 15.0o in this problem. What is the minimum value of ? for which the stick will remain in equilibrium?

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 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?

It is sometimes important to determine the location of a person’s center of gravity(which coincides with the center of mass because the gravitational force is uniform at the scale of the human body). This can be done with the arrangement shown intheFigure below. A light (negligible mass) plank rests on two scales that read Fg1=380 N and Fg2=320 N. The scales are separated by a distance of 2.00 m. How far from the woman’s feet is her center of gravity?

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A 10 m long board has a mass of 7 kg. The left end of the board is against a wall and it sticks straight out like a boom.  A rope is tied 1 m from the right end of the board and makes a 44 degree angle with the boom. A 25 kg box hangs 3 m from the right end. Find the tension in the rope.

A 2.99 m long ladder that has a mass of 5.84 kg leans against a frictionless wall. The coefficient of static friction between the ladder and the floor is 0.589. What is the maximum angle that the ladder can make with the floor without slipping if a 87.6 kg person stands half-way up the ladder? θ =  °

An athlete holds a 34.0 N pole in equilibrium by exerting an upward force U with her left hand and a downward force D with her right hand as shown. Point C is the center of gravity of the pole. (Let L₁ 2.25 m, 42 1.35 m, and L3 = = = 0.900 m. Due to the nature of this problem, do not use rounded intermediate values-including answers submitted in WebAssign-in your calculations.) L3 L2 B D g (a) What is the magnitude of U (in N)? N (b) What is the magnitude of D (in N)? N