10. One end of a 1.5 kg uniform stick that is 2.0 m long is placed against a vertical wall as shown. A light cord making an angle 0 with the stick holds the other end. The coefficient of static friction between the end of the stick and the wall is 0.500. a) What is the maximum value the angle 0 can have if the stick is to remain in equilibrium? Ө b) When 0 = 15° a body of the same weight as the stick is suspended from the stick a distance x from the wall. What is the minimum value of x for which the stick will remain in equilibrium?
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- A 4-m long, 150-kg steel beam is attached to a wall with one end connected to a hinge that allows the beam to rotate up and down. The other end of the beam is held in a horizontal position with a cable that makes a 27° angle with the beam and is attached to the wall (see (Figure 1)). a.What is the tension force that keeps this beam in static equilibrium? b. A mass of 75 kg is hung from the beam 3 meters away from the hinge (see (Figure 2)). Now what is the tension force that keeps this beam in static equilibrium? c.What is the vertical component of the force that the hinge exerts on the beam?QUESTION 9 A diver of mass 69.8 kg stands on one end of a diving board of mass 24.8 kg, as shown in the diagram. Everything is in equilibrium (since nothing is moving). What is the magnitude of the support force on the opposite end of the diving board? A 1,193 N B 2,237 N C 716 N D 1,491 N1. ch A uniform 40.0-kg scaffold of length 6 m is supported by two light cables, as shown below. An 80 kg painter stands 1 m from the left end of the scaffold, and his painting equipment is 1.5 m from the right end. The tension in the left cable is twice that in the right cable. Find 1. The tension in the left cable = 2. The tension in the right cable = 3. The mass of the equipment = N 99+ N kg Think & Prepare 1. If the plank is in equilbrium, torque about any point will be zero. Pick a point about which to calculate torques. 2. Draw all forces and torques. 3. Write down the First Condition for Equilibrium symbolically. 4. Write down the Second Condition for Equilibrium symbolically. 5. How many unknowns are there? How many equations are there? 6. How can you solve the equations find the unkowns?
- 11. The diagram below shows a ladder that is 6.0 m long and has a mass of 20.0 kg. The ladder rests on a level floor and against a wall at an angle of 15° to the wall. The coefficient of static friction between the ladder and the floor is 0.232. A person with a mass of 60.0 kg begins to climb the ladder. The base of the ladder will begin to slide away from the wall when the person reaches which distance interval from the base of the ladder? A. 0 m–1.5 mB. 1.5 m–3.0 mC. 3.0 m–4.5 mD. 4.5 m–6.0 mQ182. A uniform ladder weighing 330. N is leaning against a wall. The ladder slips when the angle with the floor is 50.00. Assuming the coefficient of static friction at the wall and the floor are the same, obtain a value for us.
- 2. A 3.0-m-long ladder leans against a wall at an angle of 60° with respect to the floor. What is the minimum value of us, the coefficient of static friction with the ground, that will prevent the ladder from slipping? Assume that friction between the ladder and the wall is negligible. Center of gravity 19 TULO L 60⁰ Weight acts at the center of gravity. Known L-30 m Find Me Contro <= 0 about this point. Static friction prevents slipping.4. A 3 kg meter stick has a fixed axis at the 15 cm mark. (a) Determine the magnitude and direction of an upward vertical force at the 100 cm mark that will maintain the meter stick in a horizontal equilibrium position. (b) Determine the reaction force exerted by the axis.1. A 160kg utility pole extends 12.0m above the ground. A horizontal force of 250N acts at its top and the pole is held in the vertical position by a cable. a. Draw a free-body (or force) diagram for the pole. b. Determine the tension in the cable. c. What are the reaction forces exerted at the lower end of the pole by the ground? 2. A 40.0kg uniform platform is suspended by two cables, 2.00m apart, where the centre of the platform lies midway between the cables. A 5.00kg paint bucket is placed on the platform, 24.0cm to the right of the right cable. Determine the tension in each cable.