Concept explainers
If a loop of chain is spun at high speed, it can roll along the ground like a circular hoop without collapsing. Consider a chain of uniform linear mass density μ whose center of mass travels to the right at a high speed υ0 as shown in Figure P16.67. (a) Determine the tension in the chain in terms of μ and υ0. Assume the weight of an individual link is negligible compared to the tension, (b) If the loop rolls over a small bump, the resulting deformation of the chain causes two transverse pulses to propagate along the chain, one moving clockwise and one moving counterclockwise. What is the speed of the pulses traveling along the chain? (c) Through what angle does each pulse travel during the time interval over which the loop makes one revolution?
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Chapter 16 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
- The velocity of an elevator is given by the graph shown. Assume the positive direction is upward. Velocity (m/s) 3.0 2.5 2.0 1.5 1.0 0.5 0 0 5.0 10 15 20 25 Time (s) (a) Briefly describe the motion of the elevator. Justify your description with reference to the graph. (b) Assume the elevator starts from an initial position of y = 0 at t=0. Deriving any numerical values you need from the graph: i. Write an equation for the position as a function of time for the elevator from t=0 to t = 3.0 seconds. ii. Write an equation for the position as a function of time for the elevator from t = 3.0 seconds to t = 19 seconds. (c) A student of weight mg gets on the elevator and rides the elevator during the time interval shown in the graph. Consider the force of con- tact, F, between the floor and the student. How Justify your answer with reference to the graph does F compare to mg at the following times? and your equations above. i. = 1.0 s ii. = 10.0 sarrow_forwardStudents are asked to use circular motion to measure the coefficient of static friction between two materials. They have a round turntable with a surface made from one of the materials, for which they can vary the speed of rotation. They also have a small block of mass m made from the sec- ond material. A rough sketch of the apparatus is shown in the figure below. Additionally they have equipment normally found in a physics classroom. Axis m (a) Briefly describe a procedure that would allow you to use this apparatus to calculate the coefficient of static friction, u. (b) Based on your procedure, determine how to analyze the data collected to calculate the coefficient of friction. (c) One group of students collects the following data. r (m) fm (rev/s) 0.050 1.30 0.10 0.88 0.15 0.74 0.20 0.61 0.25 0.58 i. Use the empty spaces in the table as needed to calculate quantities that would allow you to use the slope of a line graph to calculate the coefficient of friction, providing labels with…arrow_forwardPART Aarrow_forward
- answer both questionarrow_forwardOnly part A.) of the questionarrow_forwardIn general it is best to conceptualize vectors as arrows in space, and then to make calculations with them using their components. (You must first specify a coordinate system in order to find the components of each arrow.) This problem gives you some practice with the components. Let vectors A = (1,0, -3), B = (-2, 5, 1), and C = (3,1,1). Calculate the following, and express your answers as ordered triplets of values separated by commas.arrow_forward
- In general it is best to conceptualize vectors as arrows in space, and then to make calculations with them using their components. (You must first specify a coordinate system in order to find the components of each arrow.) This problem gives you some practice with the components. Let vectors A = (1,0, −3), B = (-2, 5, 1), and C = (3,1,1). Calculate the following, and express your answers as ordered triplets of values separated by commas.arrow_forwardOnly Part C.) is necessaryarrow_forwardOnly Part B.) is necessaryarrow_forward
- A (3.60 m) 30.0°- 70.0° x B (2.40 m)arrow_forwardIn general it is best to conceptualize vectors as arrows in space, and then to make calculations with them using their components. (You must first specify a coordinate system in order to find the components of each arrow.) This problem gives you some practice with the components. Let vectors A = (1,0, -3), B = (-2, 5, 1), and C = (3,1,1). Calculate the following, and express your answers as ordered triplets of values separated by commas.arrow_forwardfine the magnitude of the vector product express in sq meters what direction is the vector product in -z or +zarrow_forward
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