One end of a uniform meter stick is placed against a vertical wall as shown in (Figure 1). 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 0.35.

A new art exhibit featuring mobile works is going up in the Holland, MI, area. One piece is shown in the figure. The 140-N uniform beam is pinned to the ground by a pivot. The beam is supported by a cable (attached to the center of the beam) to allow for each of the shoes to hang freely. Each individual shoe has a weight of 9.5-N. 1.If one shoe is attached two-fifths of the way up the beam and another shoe is attached and three-fifths of the way up the beam, with θc = 19.5° and θb = 33.5° as shown in the figure, what is the tension in the cable, in newtons?

A homeowner is trying to move a stubborn rock from his yard. By using a a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distance ?=0.288 mfrom the rock, which has a mass of 465 kg, and fits one end of the rod under the rock's center of weight.   If the homeowner can apply a maximum force of 671 N at the other end of the rod, what is the minimum total length ? of the rod required to move the rock? Assume that the rod is massless and nearly horizontal so that the weight of the rock and homeowner's force are both essentially vertical. The acceleration due to gravity is ?=9.81 m/s2.

+ A uniform ladder stands on a rough floor and rests against a frictionless wall as shown in the figure. Since the floor is rough, it exerts both a normal force N, and a frictional forcef, on the ladder. However, since the wall is frictionless, it exerts only a normal force N₂ on the ladder. The ladder has a length of L = 4.2 m, a weight of W, = 66.5 N, and rests against the wall a distance d = 3.75 m above the floor. If a person with a mass of m= 90 kg is standing on the ladder, determine the following. (a) the forces exerted on the ladder when the person is halfway up the ladder (Enter the magnitude only.) N₂ N₂- 4- (b) the forces exerted on the ladder when the person is three-fourths of the way up the ladder (Enter the magnitude only.) N₂ N₂ Additional Materials

A yo-yo (with inner radius r0.5in and outer radius r.=1.5in) rests against a wall while its string is attached to the top of the wall as shown. Find the minimum coefficient of friction to prevent slip. The yo-yo weighs 0.31bs. 30°

A uniform 36.0-kg beam of length ℓ = 4.20 m is supported by a vertical rope located d = 1.20 m from its left end as in the figure below. The right end of the beam is supported by a vertical column. Answer parts a-b.

A block with a mass of m = 1.5 kg rests on a wooden plank. The coefficient of static friction between the block and the plank is μs = 0.44. One end of the board is attached to a hinge so that the other end can be lifted forming an angle, θ, with respect to the ground. Assume the x-axis is along the plank as shown in the figure. a)Assuming the x-direction is along the plank as shown, find an expression for the magnitude of the force of gravity in the y-direction, Fgy, perpendicular to the plank in terms of given quantities and variables available in the palette.  b)Write an expression for the magnitude of the maximum friction force along the surface, Fs, in terms of given quantities and variables available in the palette.  c)Assuming the static friction is maximized, write an expression, using only the given parameters and variables available in the palette, for the sum of the forces along the plank, ΣFx.