A simple pendulum (a mass swinging at the end of a string) swings back and forth in a circular arc. What is the direction of the acceleration of the mass when it is at the ends of the swing? At the midpoint? In each case, explain how you obtained your answer.
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A simple pendulum (a mass swinging at the end of a string)
swings back and forth in a circular arc. What is the direction of the acceleration
of the mass when it is at the ends of the swing? At the midpoint?
In each case, explain how you obtained your answer.
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- An object is moving counterclockwise around a circular track at a constant speed of 3 m/s. The track is centered at the origin and has a radius of 1 m. What is the object's acceleration vector when it is at point P shown? y. P -(3플)i ○금3 + (3프) i a = +(9) i m Oa = 0 -(9플)iWhile sitting in physics class one day, you begin to ponder the workings of the analog clock on the classroom wall. You notice as the hands sweep in a continuous motion that there are exactly t = 49 minutes left in class. a)Through what angle (in radians) will the second hand turn before the end of class? b)Through what angle (in radians) will the minute hand sweep before the end of class? c)Through what angle (in radians) will the hour hand sweep before the end of class?A particle moves in a circular path according to the clockwise equation θ(t)=π/4+2t+4t2, where θ is the angle between the particle's position vector and the x axis, oriented positively counterclockwise. θ is measured in radians and t in seconds. Which of the images below represents the velocity vectors v (in red) and acceleration a (in blue) of the particle at time t=0? Choose between an option : A, B, C, D, E, F, G, or H
- You re out in space, on a rotating wheel-shaped space station of radius 679 m. You feel planted firmly on the floor , due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm). 0.120 rpm 81.6 rpm 0.459 rpm 1.148 rpmA light, rigid rod is 50.2 cm long. Its top end is pivoted on a frictionless horizontal axle. The rod hangs straight down at rest with a small, massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swings around in a full circle. What minimum speed at the bottom is required to make the ball go over the top of the circle? m/sA model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip. The model is rotated in a wind tunnel at a rotational speed of 500 rev/minrev/min. 1. What is the linear speed of the blade tip? Express your answer in meters per second. 2. What is the radial acceleration of the blade tip expressed as a multiple of the acceleration due to gravity, gg? Express your answer as a multiple of gg. 3.
- You're out in space, on a rotating wheel-shaped space station of radius 1426 m. You feel planted firmly on the floor due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm). 0.083 rpm 118.3 rpm 0.554 rpm 0.792 rpmIn the game of tetherball, a ball is hung from a vertical pole via a 0.75m rope. The rope is allowed to pivot freely from the top of the pole so the ball can swing around the pole. If the angle of the rope is 30° with respect to the pole, how much time does it take the ball to make one complete revolution around the pole?Hi, today I had my engineering mechanics 1 test which I completely screwed up. I was quite confident in the uniform circular motion, but I had this problem in my exam which completely confused me. When I read "upward vertical acceleration" my head just start to spin as I couldn't understand what force could cause an upward acceleration. Could you help me with this problem? I bet it is easier than it looks, but still, I am confused about what is asking me and most importantly about the input it is giving me. I don't have my exam paper with me, but on my body diagram, I knew that on the aeroplane were exerted the Force of Contact Fn1 and the Force m1g in the y opposite direction. On the pilot was acting the Force of Contact with the seat of the aeroplane Fn2 and the m2g in the y opposite direction. Here is the problem: During an air show an aircraft comes out of a dive at the bottom of a circular arc at a horizontal speed of 97m/s. In the cockpit the aircraft pilot of mass 58kg…
- The cable lifting an elevator is wrapped around a 1.2-m-diameter cylinder that is turned by the elevator's motor. The elevator is moving upward at a speed of 1.9 m/s . It then slows to a stop, while the cylinder turns one complete revolution.How long does it take for the elevator to stop?A golfer starts with the club over her head and swings it to reach maximum speed as it contacts the ball. Part A Halfway through her swing, when the golf club is parallel to the ground, does the acceleration vector of the club head point (a) straight down, (b) parallel to the ground, approximately toward the golfer's shoulders, (c) approximately toward the golfer's feet, or (d) toward a point above the golfer's head? Explain. Match the words in the left column to the appropriate blanks in the sentences on the right. tangential centripetal directed along the club pointed vertically up pointed vertically down Submit ‒‒‒‒‒‒‒‒‒‒ (a) (b) (c) (d) Request Answer The club head undergoes circular motion so it has a club head is increasing, it also has an acceleration component vector is pointed as described in Reset Help acceleration. As the speed of the Thus, the accelerationWhile sitting in physics class one day, you begin to ponder the workings of the analog clock on the classroom wall. You notice as the hands sweep in a continuous motion that there are exactly t = 55 minutes left in class. Through what angle (in radians) will the second hand turn before the end of class?