#57 51; * A car is uniformly accelerating, having started from rest, it itteven

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#57

51; * A car is uniformly accelerating, having started from rest, it itteven a total die 200 tance of 100 ft in the first 3 s, hou far in it will it travel during the firot 5 st h 600 B. 500 c. 400 D. 300 2. 200 P. 100 52.* A nass mi 1 g and a mass m2 g are 9 cm apart. A third mass b 69 ia rom m', Pind the center of mass of directly in line with mrard it, and 9 cm f the three-body systen relative to the mass n . A. 3 B. 4 D. 7 E. 9 F. 14 53.* What is the weight in pounds of a 216 lb garth astronaut, if he visits a planet hcee mass and radius are one-third that of the Barth's? A. 54 B. 72 C. 108 D. 432 B. 648 P 864 54. A 384 1b block is at rest on a long table ubere the cofficient of kinstic friction is 1/4. Attached to this block is a horizontal cord extending over a frictionlens pulley and supporting vertically a 256 1b object. If this systen accelerates through a distance of 4 ft, what is its final kinstic enargy in basic PPS unite? A. 20 B. 196 C 431.2 D: 640 B 1408 32384 55. Consider a 20 ft long plane inclined at a 37° angle with respect to the horizontal and a weight sliding don the plane. If the weight starts iron cient of linetic friction is 1/2, what is the naximun spesd in ft/s of the weight? rest and the coeffi- B. 8 c. 16 D. 64 B. 128 A. 4 P. 256 56. Consider a speck of dust located 8/ tt from the center of a record whuich is rotat ing at 45 RPH. Assuming the particie would be thrown off by any increase in rota- tional speed, find the coefficient of static friction betueen the dust and record. 4/5 C, 3/4 D. 9/16 g.17/32 · 33/64 10/11B. wo men supporting the beam between then on a cnOSSPIECE. If the beam has a length t crosspiece be placed relative to the nan at the one and such that divided among the three men? 57, A beam is carried by three men, one man at one end and the other Mhre ust the the load is equally D. L/2B P L/A

Explanation / Answer

Assuming it will rotate about it's center ( this is a safe assumption because we can assume any object in equilibrium will rotate about any point along it's length)

we want the forces of all men to be equal for them to have an equal share of the weight. So, combined men 2 and 3 create a force that is twice that of man 1so they must be 1/2 as far from the rotation point than man 1 is, and because it is stated that he is at the end, his distance from the pivot point is L/2.

So, we can determine that they must be at a distance of (L/4) on the other side of the pivot point in order for all three men to share the load equally.

Please rate my answer, good luck...

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