3. A large board L 6.00 m and m 25.0 kg is laying so that d = 1.00 m of the board hangs off the roof of a building. A contractor puts his toolbox on the end of the board as shown. What is the greatest mass the toolbox can have and not cause the board to flip up and slide off the roof?

3. Two parents are doing some home improvement and their baby falls asleep on a board they are moving (parents of the year). The board is 3.80 m long and the baby is 0.45 m from one end of the board. The parents are holding the board from either edge. The board has a mass of 3.1 kg and the baby has a mass of 10.2 kg. Draw a free-body diagram and label each force and distances. Also choose and mark a pivot point for your board on the drawing. а. b. Write out E F and Ei for your diagram. Don't solve yet. For each of the torques you wrote down in part b, use the right-hand rule to say whether the direction of torque is into the page or out of the page. с.

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QUESTION 11 A uniform, 5.0-m-long, 30-kg plank is suspended from a high ceiling by two, uniform, massless, vertical cables. A 70-kg painter is standing 1.5 m from the cable at the right end of the plank. What is the force of the cable on the plank at the right end? 1.5 m 5.0 m а. 117 N b. 225 N С. 453 N d. 628 N е. 784 N

The figure shows a 1280 kg car that has slipped over the edge of an embankment. People are trying to hold the car in place by pulling on a horizontal rope. The car's bottom is pivoted on the edge of the embankment, and its center of mass lies farther back, as shown. 2,4m 1,8m 3 If the car makes a 34 degree angle with the horizontal, what force must the people apply to hold it in place? T=_N

A monkey of mass m = 10.0 kg is holding on to two vines each of length l = 3.00 m. The vines form an angle with the horizontal of 40.0 degrees (see figure). The monkey is not moving and the vines are considered massless and not stretchable. Determine the magnitude of the tension in each vine. d. Now the monkey moves up by clinging up the two vines, causing their angle with the horizontal to become smaller. If each vine breaks at a tension larger than T = 100 N, what is the smallest angel the vines can have with the horizontal?

4. A wooden board of mass M and length L is hung from the ceiling by two massless wires attached to its two ends. A block of mass m is placed on the board. The two wires are of the same length. (a) the two wires is equal to each other? (b) along the board? (c) other. The thick wire can just sustain the maximum tension in part (b) while the thin wire can only sustain half of it. What is the requirement on the position of the block to avoid breaking the wires? Where is the block placed if it is known that the tension in What is the minimum and maximum of tension in the wires as we move the block Now assume M = 10 kg, m = 15 kg, and that one of the wires is thinner than the

A hungry bear weighing 700 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam (Fig. P8.22). The beam is uniform, weighs 200 N, and is 6.00 m long, and it is supported by a wire at an angle of 0 = 60.0°. The basket weighs 80.0 N. (a) Draw a force diagram for the beam. (b) When the bear is at x = 1.00 m, find the tension in the wire supporting the beam and the components of the force exerted by the wall on the left end of the beam. (c) If the wire can withstand a maximum tension of 900 N, what is the maximum distance the bear can walk before the wire breaks?

Q13. A 5 meter, 200N-long ladder rests against a wall. The ladders center of mass is 3.0 meters up the ladder. The coefficient of friction on the ground is 0.30. How far along the ladder can a 75-kg person climb before it slips? The angle between the ladder and ground is 56 degrees. (2.0 m)

In exercise physiology studies, it is sometimes important to determine the location of a person's center of mass. This determination can be done with the arrangement shown in the figure below. A light plank rests on two scales, which read F, = 395 N and F, gi = 340 N. A distance of 1.65 m separates the scales. How far from the woman's feet is her center of mass? g2 1.65 m F 18. F 82