Predict/Calculate A uniform rope of length L and mass M rests on a table, (a) If you lift one end of the rope upward with a constant speed u, show that the rope’s center of mass moves upward with constant acceleration , (b) Next, suppose you hold the rope suspended in air, with its lower end just touching the table. If you now lower the rope with a constant speed, u, onto the table is the acceleration of the rope’s center of mass upward or downward? Explain your answer (c) Find the magnitude and direction of the acceleration of the ropes center of mass tor the case described in part (b). Compare with part (a).
Predict/Calculate A uniform rope of length L and mass M rests on a table, (a) If you lift one end of the rope upward with a constant speed u, show that the rope’s center of mass moves upward with constant acceleration , (b) Next, suppose you hold the rope suspended in air, with its lower end just touching the table. If you now lower the rope with a constant speed, u, onto the table is the acceleration of the rope’s center of mass upward or downward? Explain your answer (c) Find the magnitude and direction of the acceleration of the ropes center of mass tor the case described in part (b). Compare with part (a).
Predict/Calculate A uniform rope of length L and mass M rests on a table, (a) If you lift one end of the rope upward with a constant speed u, show that the rope’s center of mass moves upward with constant acceleration, (b) Next, suppose you hold the rope suspended in air, with its lower end just touching the table. If you now lower the rope with a constant speed, u, onto the table is the acceleration of the rope’s center of mass upward or downward? Explain your answer (c) Find the magnitude and direction of the acceleration of the ropes center of mass tor the case described in part (b). Compare with part (a).
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.6 kg at (0.0, 4.1) m, and 4.0 kg at (2.9, 0.0) m. Where should a fourth object of 7.4 kg be
placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?
x =
m
Need Help?
Read It
Watch It
Stand with your heels and back against a wall and try to bend over and touch your toes. You’ll find that you have to stand away from the wall to do so without toppling over. Compare the minimum distance of your heels from the wall with that of a friend of the opposite sex. Who can touch their toes with their heels nearer to the wall males or females? On the average and in proportion to height, which sex has the lower center of gravity?
John jumps up in the air to block a shot. After he is off the ground, John raises his hands over his head. Explainhow this action affects the flight path of his center of gravity.
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.