The velocity -time graph of SUV is given below. The mass of the SUV is 1000 kg.
What is the distance travelled by the SUV is first 2 seconds, then in next 3 seconds .
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. When tightening a bolt, you push perpendicularly on a wrench with a force of 165 N at a distance of 0.140 m from the center of the bolt. How much torque are you exerting relative to the center of the bolt?
25. When opening a door, you push on it perpendicularly with a force of 55.0 N at a distance of 0.850 m from the hinges. What torque are you exerting relative to the hinges?
26. Find the magnitude of the tension in each supporting cable shown below. In each case, the weight of the suspended body is 100.0 N and the masses of the cables are negligible.Figure A shows small pan of mass supported by string T3 that is tied to strings T1 and T2. Strings T1 and T2 are connected to two beams intersecting at a 90 degree angle. String T1 is perpendicular to the beam it is connected to. String T2 forms a 45 degree angle with the beam it is connected to. Figure B shows small pan of mass supported by string T2 that is tied to two identical strings T1. Strings T1 form 60 degree angles with the beam they are connected to. Figure C shows small pan of mass supported by string T3 that is tied to strings T1 and T2. String T1 and T2 form 60 and 45 degree angles, respectively, with the beam they are connected to. Figure D shows small pan of mass supported by string T4 that is tied to two strings T3 forming 6o degrees angle with the string T2. String T2 is connected to the beam by two strings T1. Strings T1 form 45 degree angles with the beam.
27. What force must be applied at point P to keep the structure shown in equilibrium? The weight of the structure is negligible.Figure shows the distribution of forces applied to point P. Force of 2000 N, two meters to the left of the point P, moves it downwards. Force of 4000 N, two meters to the right and one meter above of the point P, moves it to the right.
28. Is it possible to apply a force at P to keep in equilibrium the structure shown? The weight of the structure is negligible.Figure shows the distribution of forces applied to point P. Force of 2000 N, two meters to the left of the point P, moves it downwards. Force of 3000 N, two meters to the right of the point P, moves it upwards. Force of 5000 N, two meters to the right and one meter above of the point P, moves it to the right.
29. Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the door. One child pushes with a force of 17.5 N at a distance of 0.600 m from the hinges, and the second child pushes at a distance of 0.450 m. What force must the second child exert to keep the door from moving? Assume friction is negligible.
30. A small 1000-kg SUV has a wheel base of 3.0 m. If 60% if its weight rests on the front wheels, how far behind the front wheels is the wagon’s center of mass?
31. The uniform seesaw is balanced at its center of mass, as seen below. The smaller boy on the right has a mass of 40.0 kg. What is the mass of his friend?Figure is a schematic drawing of two boys on the seesaw. One boy sits two meters from the edge of the seesaw and two meters from the center. Another boys sits at the opposite edge of the seesaw, four meters from the center.
12.2 Examples of Static Equilibrium
32. A uniform plank rests on a level surface as shown below. The plank has a mass of 30 kg and is 6.0 m long. How much mass can be placed at its right end before it tips? (Hint: When the board is about to tip over, it makes contact with the surface only along the edge that becomes a momentary axis of rotation.)Figure schematic drawing of uniform plank rests on a level surface. Part of the plank that is 4.2 meters long is supported by the plank. Part of the plank that is 1.8 meters long is hanging over it.
33. The uniform seesaw shown below is balanced on a fulcrum located 3.0 m from the left end. The smaller boy on the right has a mass of 40 kg and the bigger boy on the left has a mass 80 kg. What is the mass of the board?Figure is a schematic drawing of two boys on the seesaw. One boy sits on the edge of the seesaw three meters from the center. Another boys sits at the opposite edge of the seesaw, five meters from the center.
Explanation: