A 3.0-mm -long ladder, leans against a frictionless wall. The coefficient of static friction between the ladder and the floor is 0.50. What is the minimum angle the ladder can make with the floor without slipping?

Question 4: The uniform 7m steel shaft has a mass of 200kg and is B supported by a ball and socket joint at A in the horizontal floor. The ball end B rests against the smooth vertical walls as shown. Compute the forces exerted by the walls and the floor on the ends of the shaft. 7 m m 6 m

One end of a uniform ℓ = 4.40-m-long rod of weight w is supported by a cable at an angle of ? = 37° with the rod. The other end rests against a wall, where it is held by friction (see figure). The coefficient of static friction between the wall and the rod is ?s = 0.570.  Determine the minimum distance x from point A at which an additional weight w (the same as the weight of the rod) can be hung without causing the rod to slip at point A._______________________ m

During a wrestling match, a 110 kg wrestler briefly stands on one hand during a maneuver designed to perplex his already moribund adversary.   By how much does the upper arm bone shorten in length in meters? The bone can be represented by a uniform rod 35.5 cm in length and 2.35 cm in radius with a Young's modulus of 1.6 × 1010N/m2.

One end of a 2.00 m uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle θ with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.530. A block of the same weight as the stick is suspended on it at adistance ? from the wall as shown. Assume that θ = 16.5° in this part ofthe problem. What is the minimum value of x for which the stick willremain in equilibrium?

a 8-53.. A lantern of weight W is suspended at the end horizontal bar of weight w and length L that is supported by a cable that makes an angle with the side of a vertical wall. Assume the weight of the bar is at its center. (a) Derive an equation for the tension in the cable. (b) Calculate the tension in the cable for a bar of weight 28 N and length 1.5 m, plus a lantern of weight 85 N, and the cable making a 37° angle to the vertical. 40² D

A 5 m long, 152 kg bridge of uniform density is supported by wires attached 1.2 m from each end. A 71.3 kg man is standing 3.19 m from the left end of the bridge. Calculate the tension (in N) in the wire closer to the right side of the bridge.

During a wrestling match, a 116 kg wrestler briefly stands on one hand during a maneuver designed to perplex his adversary. By how much (in m) does the upper arm bone shorten in length? The bone can be represented by a uniform rod 38.0 cm in length and 2.10 cm in radius. Assume Young's modulus for bone under compression is 9 ✕ 109 N/m2.

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?