(a) What is the radial acceleration of the bob? magnitude m/s2 direction inward (b) What are the horizontal and vertical components of the tension force exerted by the string on the bob? (Assume radially inward to be the positive x axis and vertically upward to be the positive y axis. Express your answer in vector form.) T= N Need Help? Read It

(a) What is the radial acceleration of the bob? magnitude m/s2 direction inward (b) What are the horizontal and vertical components of the tension force exerted by the string on the bob? (Assume radially inward to be the positive x axis and vertically upward to be the positive y axis. Express your answer in vector form.) T= N Need Help? Read It

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Circular Motion And Other Applications Of Newton's Laws

Section: Chapter Questions

Problem 32AP: Why is the following situation impossible? A mischievous child goes to an amusement park with his...

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Why is the following situation impossible? A mischievous child goes to an amusement park with his family. On one ride, after a severe scolding from his mother, he slips out of his seat and climbs to the top of the rides structure, which is shaped like a cone with its axis vertical and its sloped sides making an angle of = 20.0 with the horizontal as shown in Figure P6.32. This part of the structure rotates about the vertical central axis when the ride operates. The child sits on the sloped surface at a point d = 5.32 m down the sloped side from the center of the cone and pouts. The coefficient of static friction between the boy and the cone is 0.700. The ride operator does not notice that the child has slipped away from his seat and so continues to operate the ride. As a result, the sitting, pouting boy rotates in a circular path at a speed of 3.75 m/s. Figure P6.32
Why is the following situation impossible? A space station shaped like a giant wheel has a radius of r = 100 m and a moment of inertia of 5.00 108 kg m2. A crew of 150 people of average mass 65.0 kg is living on the rim, and the stations rotation causes the crew to experience an apparent free-fall acceleration of g (Fig. P10.52). A research technician is assigned to perform an experiment in which a ball is dropped at the rim of the station every 15 minutes and the time interval for the ball to drop a given distance is measured as a test to make sure the apparent value of g is correctly maintained. One evening, 100 average people move to the center of the station for a union meeting. The research technician, who has already been performing his experiment for an hour before the meeting, is disappointed that he cannot attend the meeting, and his mood sours even further by his boring experiment in which every time interval for the dropped ball is identical for the entire evening.
Keratinocytes are the most common cells in the skins outer layer. As these approximately circular cells migrate across a wound during the healing process, they roll in a way that reduces the frictional forces impeding their motion. (a) Given a cell body diameter of 1.00 105 m (10 m), what minimum angular speed would be required to produce the observed linear speed of 1.67 107 m/s (10 m/min)? (b) How many complete revolutions would be required for the cell to roll a distance of 5.00 103 m? (Because of slipping as the cells roll, averages of observed angular speeds and the number of complete revolutions are about three times these minimum values.)
A conical pendulum is formed by attaching a ball of mass m to a string of length L, then allowing the ball to move in a horizontal circle of radius r. The string traces out the surface of a cone, hence the name. Find an expression for the tension T in the string (expressing the answers in terms of the variables L, m, r). Find an expression for the ball's angular speed (in terms of the variables L and r). Lastly, what is the tension for a 500 gg ball swinging in a 20-cmcm-radius circle at the end of a 1.0-mm-long string? Given the peculiar circumstances, I was forced to self-teach this material and I am incredibly confused as to how to approach these problems. Can you please help me? Thank you :)
A regulation basketball has a 44cm diameter and may be approximated as a thin spherical shell .how long will it take a basketball starting from rest to roll without slipping 4.0 m down an incline that makes an angle of 10.3ﾟ With the horizontal? the acceleration of gravity is 9.81 M/S^2. Answer in units of s.
One end of a cord is fixed and a small 0.500-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 2.00 m, as shown in Figure P7.19. When 0 = 20.0°, the speed of the object is 8.00 m/s. At this instant, find (a) the tension in the string, (b) the tangential and radial components of acceleration, and (c) the total acceleration. (d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? (e) Explain your answer to part (d).
How fast (in rpm) must a centrifuge rotate if a particle 9.50 cm from the axis of rotation is to experience an acceleration of 117000 g's? If the answer has 4 digits or more, enter it without commas, e.g. 13500.
A student ties a 530.0 g rock to a 1.75 m-long string and swings it around her head in a horizontal circle. At what angular speed (in rev/min) does the string tilt down at a 16.0° angle, assuming that the local acceleration due to gravity is -9.80 m/s2?
In the circular motion experiment with constant acceleration performed on an air table, the mass of the disk is 100 g and the length of the rope is 100 cm. Using the graph, find the tangential velocity of the object at t=3 s in m/s. (vi=0, f=10Hz)
In a popular amusement park ride, a rotating cylinder of radius 3.00 m is set in rotation at an angular speed of 5.00 rad/s, as in Figure P7.75. The floor then drops away, leaving the riders suspended against the wall in a vertical position. What minimum coefficient of friction between a rider’s clothing and the wall is needed to keep the rider from slipping? Hint: Recall that the magnitude of the maximum force of static friction is equal to μsn, where n is the normal force—in this case, the force causing the centripetal acceleration.
How fast (in rpm) must a centrifuge rotate if a particle 6.50 cm from the axis of rotation is to experience an acceleration of 120000 g's? If the answer has 4 digits or more, enter it without commas, e.g. 13500. Express your answer using three significant figures.
The angular position of an object that rotates about a fixed axis is given by θ(t) = θ0 eβt, where β = 4 s−1, θ0 = 0.9 rad, and t is in seconds. What is the magnitude of the total linear acceleration at t = 0 of a point on the object that is 2.1 cm from the axis? Answer in units of cm/s2.