Concept explainers
Review. A piece of putty is initially located at point A on the rim of a grinding wheel rotating at constant angular speed about a horizontal axis. The putty is dislodged from point A when the diameter through A is horizontal. It then rises vertically and returns to A at the instant the wheel completes one revolution. From this information, we wish to find the speed v of the putty when it leaves the wheel and the force holding it to the wheel. (a) What analysis model is appropriate for the motion of the putty as it rises and falls? (b) Use this model to find a symbolic expression for the time interval between when the putty leaves point A and when it arrives back at A, in terms of v and g. (c) What is the appropriate analysis model to describe point A on the wheel? (d) Find the period of the motion of point A in terms of the tangential speed v and the radius R of the wheel. (e) Set the time interval from part (b) equal to the period from part (d) and solve for the speed v of the putty as it leaves the wheel. (f) If the mass of the putty is m, what is the magnitude of the force that held it to the wheel before it was released?
Trending nowThis is a popular solution!
Chapter 6 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
Additional Science Textbook Solutions
Fundamentals Of Thermodynamics
Essential University Physics (3rd Edition)
Mathematical Methods in the Physical Sciences
Essential University Physics: Volume 1 (3rd Edition)
University Physics with Modern Physics (14th Edition)
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
- A small particle of mass m is pulled to the top of a friction less half-cylinder (of radius R) by a light cord that passes over the top of the cylinder as illustrated in Figure P7.15. (a) Assuming the particle moves at a constant speed, show that F = mg cos . Note: If the particle moves at constant speed, the component of its acceleration tangent to the cylinder must be zero at all times. (b) By directly integrating W=Fdr, find the work done in moving the particle at constant speed from the bottom to the top of the hall-cylinder. Figure P7.15arrow_forwardAn amusing trick is to press a finger down on a marble on a horizontal table top, in such a way that the marble is projected along the table with an initial linear speed v and an initial backward rotational speed ω about a horizontal axis perpendicular to v. The coefficient of sliding friction between marble and top is constant. The marble has radius R. If the marble skids to a stop and then starts returning toward its initial position, with a final constant speed of 0.620v, what was ω in terms of v and R? Hint for part (b): When the marble rolls without slipping, the relationship between speed and angular speed is v = ωR.arrow_forwardA bowling ball, whose radius R is 11 cm and whose mass is 7.2 kg. rolls from rest down a plank whose length L is 2.1 m. the plank is inclined at an angle φ of 34 degrees to the horizontal. How fast is the ball moving when it reaches the bottom of the plank? please can you write your answer in handwritten form pleasearrow_forward
- A hoop of radius RH and mass mH and a solid cylinder of radius Rc and mass mc are released simultaneously at the top of a plane ramp of length L inclined at angle θ above horizontal. Which reaches the bottom first, and what is the speed of each there?arrow_forwardZero, a hypothetical planet, has a mass of 4.1 x 1023 kg, a radius of 3.0 x 106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0 x 107 J, what will be its kinetic energy when it is 4.0 x 106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of 8.0 x 106 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero?arrow_forwardThe figure shows a thin rod, of length L = 2.10 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 7.70 kg is attached to the other end. The rod is pulled aside to angle 0o = 19° and released with initial velocity = 0. (a) What is the speed of the ball at the lowest point? (b) Does the speed increase, decrease, or remain the same if the mass is increased? (a) Number (b) Units Larrow_forward
- Zero, a hypothetical planet, has a mass of 4.7 x 1023 kg, a radius of 3.2 x 106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0 x 107 J, what will be its kinetic energy when it is 4.0 x 106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of 8.0 x 106 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero? (a) Number: i Units: (b) Number: i Units:arrow_forwardA car is going around a flat curve which has a radius of curvature of 87.3 m with a constant speed of 27.3 m/s. The car has a mass of 1410. kg. The coefficient of static friction between the tires and the road is μs = 0.975, while the coefficient of kinetic friction is k = 0.648. What is the work done by the static friction force between the tires and the road for the car to travel a distance of one quarter of the circumference of a circle with this radius?arrow_forwardA 12-kg mass package is in a non-atmosphere asteroid of mass 1.7 x 1014 kg and radius 2,000 m. The package is released with a powerful spring whose stiffness is 315 N / m. After being launched, the package is observed to have a speed of 3.0 m / s when it is at a distance of 5,000 m from the center of the asteroid. Calculate how much the spring was compressed to launch the package?arrow_forward
- Now Chandra and Darcel decide to try a problem. Suppose that the height of the incline is h = 16.0 m. Find the speed at the bottom for each of the following objects. solid sphere m/s spherical shell m/s hoop cylinder m/s m/s In a race, which object would win?arrow_forwardThe puck in the figure below has a mass of 0.120 kg. The distance of the puck from the center of rotation is originally 32.0 cm, and the puck is sliding with a speed of 80.0 cm/s. The string is pulled downward 12.5 cm through the hole in the frictionless table. Determine the work done on the puck. (Suggestion: Consider the change of kinetic energy.) 0 R m × Your response is off by a multiple of ten. Jarrow_forwardThe puck in the figure below has a mass of 0.120 kg. The distance of the puck from the center of rotation is originally 32.0 cm, and the puck is sliding with a speed of 80.0 cm/s. The string is pulled downward 12.5 cm through the hole in the frictionless table. Determine the work done on the puck. (Suggestion: Consider the change of kinetic energy.) J 1x 0 R marrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning