Exercise 2.3.17 Sarah has attached a resistance cable to her foot to give her leg a Let r be the length of cable from the spool to Sarah's foot and 0 be the angle the cab with the ground. At a certain instant, the cable is 2 ft long and is angled at 15°, and foot has a velocity and acceleration of v = (4.33i + 2.5j) ft/s and a = 0.5j) ft/s2, respectively. Calculate r,r, è,and e at this instant. (0.87i + %3D
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- Qs: Two blocks are connected by a string. Block 1 is on a frictionless surface, while block 2 hangs freely. The string passes over a massless frictionless pulley. Find the acceleration of block 1, if the acceleration of block 2 is equal to 3.8m/s², and the tension in the string. 2.2 Kg 1.4 Kg2. A car accelerates uniformly from rest and reaches a speed of 28.0 m/s in 8.00 s. If the radius of a tire is 30 cm, find the number of revolutions the tire makes during this motion, assuming that no slipping occurs.Modern roller coasters have vertical loops like the one shown in the figure. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. Part (a) What is the speed of the roller coaster, in meters per second, at the top of the loop if the radius of curvature there is 15 m and the downward acceleration of the car is 1.3g? Note that g here is the acceleration due to gravity. Part (b) The beginning of this roller coaster is at the top of a high hill. If it started from rest at the top of this hill, how high, in meters, above the top of the loop is this initial starting point? You may assume there is no friction anywhere on the track. Part (c) If it actually starts 3.5 m higher than your answer to the previous part (yet still reaches the top of the loop with the same velocity), how much energy, in joules, did it lose…
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- n engineer is designing a spring to be placed at the bottom of an elevator shaft. If the elevator cable breaks when the elevator is at a height H above the top of the spring, calculate the value that the spring constant k should have so that passengers undergo an acceleration of no more than 9.0g when brought to rest. Let N be the total mass of the elevator and passengers. Spring constant k that the spring should have so that passengers undergo an acceleration of no more that 9.0gHazel stands on the edge of a lookout admiring the view of a waterfall. The lookout is supported by a horizontal beam and a strut that makes an angle of 70° with the vertical. Hazel's mass is 60 kg 70° What is the horizontal force along the beam at the spot where she is standing? Use g = 9.81 m/s? for the acceleration due to gravity. Give your answer to the nearest Newton. Select one: a. 1721 N • b. 214 N c. 1617 N d. 626 N4. 2) The hydraulic cylinder D extends, moves the rigid rod ABC, and causes the collar A to move with velocity and acceleration both to the left. If the dimensions 4 1.0 ft, and 2 = 1.7 ft, VA = 4.9 ft/s, aa = 2.6 ft/s2, and the angle 0 = 27°, determine the speed of point B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. В 12 D a Your Answer: Answer units 1,
- 4. 3) The hydraulic cylinder D extends, moves the rigid rod ABC, and causes the collar A to move with velocity and acceleration both to the left. If the dimensions 4 = 1.0 ft, and 2 = 1.6 ft, VA = 3.6 ft/s, aa = 2.2 ft/s2, and the angle 0 = 27°, determine the speed of point C. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. %3D В 12 D Your Answer: Answer units 1,A train started moving from rest with a constant acceleration, and at one time it was traveling at a speed of sec/m30 and after a distance of 160m it was traveling at a speed of sec/m50. Find: 1: the wheel. 2: The time it takes to reach its velocity sec/m30.b)With the radius of curvature (r) at the top of the loop (T) is 1 m. Determine the minimum speed (in m/s) of the box required at point T such that it can stay on the loop.