O 80 g**14. Caryn's twirling baton is composed of a 200-g stainless steel rod of length 70 cm. Rub-ber caps are attached on both ends so that their centers of mass are at the ends of the rod. Onerubber cap has a mass of 120 g and the other has a mass of 80 g. How far from the center of70 cm120 gthe rod is the center of mass of the baton?

The expression for center mass of a system consisting three masses is

Answered: O 80 g **14. Caryn's twirling baton is…

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.6P

See similar textbooks

Similar questions

Two metersticks are connected at their ends as shown in Figure P10.18. The center of mass of each individual meterstick is at its midpoint, and the mass of each meterstick is m. a. Where is the center of mass of the two-stick system as depicted in the figure, with the origin located at the intersection of the sticks? b. Can the two-stick system be balanced on the end of your finger so that it remains lying flat in front of you in the orientation shown? Why or why not? FIGURE P10.18 (a) The center of mass of the stick on the x axis would be at (0.5 m, 0), and the center of mass of the stick on the stick on the y axis be at (0, 0.5 m), assuming the sticks are uniform. We can then use Equation 10.3 to find the x and y coordinates of the center of mass. xCM=1Mj=1nmjxj=12m[m(0.50m)]=0.25myCM=1Mj=1nmjyj=12m[m(0.50m)]=0.25m The location of the center of mass is (0.25m,0.25m) (b) No. The location of the center of mass is not located on the object, so your finger would not be in contact with the object. In a different orientation, balancing by applying a force at the center of mass might be possible, but not in the orientation shown.
A space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three pieces. One piece of mass ml = 48.0 kg travels in the positive x-direction at 12.0 m/s, and a second piece of mass m2 = 62.0 kg travels in the xy-plane at an angle of 105 at 15.0 m/s. The third piece has mass m3 = 112 kg. (a) Sketch a diagram of the situation, labeling the different masses and their velocities, (b) Write the general expression for conservation of momentum in the x- and y-directions in terms of m1, m2, m3, v1, v2 and v3 and the sines and cosines of the angles, taking to be the unknown angle, (c) Calculate the final x-components of the momenta of m1 and m2. (d) Calculate the final y-components of the momenta of m1 and m2. (e) Substitute the known momentum components into the general equations of momentum for the x- and y-directions, along with the known mass m3. (f) Solve the two momentum equations for v3 cos and v3 sin , respectively, and use the identity cos2 + sin2 = 1 to obtain v3. (g) Divide the equation for v3 sin by that for v3 cos to obtain tan , then obtain the angle by taking the inverse tangent of both sides, (h) In general, would three such pieces necessarily have to move in the same plane? Why?
Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at 5.00 m/s as in Figure P6.40a. After the collision, the orange disk moves in a direction that make an angle of 37.0 with the horizontal axis while the green disk makes an angle of 53.0 with this axis as in Figure P6.40b. Determine the speed of each disk after the collision. Figure P6.40
Check Your Understanding Even if there were some friction on the ice, it is still possible to use conservation of momentum to solve this problem, but you would need to imposed an additional condition on the problem. What is that additional condition?
A tennis ball of mass 57.0 g is held just above a basketball of mass 590 g. With their centers vertically aligned, both balls are released from rest at the same time, falling through a distance of 1.20 m, as shown in Figure P6.45. (a) Find the magnitude of the basketballs velocity the instant before the basketball reaches the ground. (b) Assume that an elastic collision with the ground instantaneously reverses the velocity of the basketball so that it collides with the tennis ball just above it. To what height does the tennis ball rebound? Figure P6.45
A uniform piece of sheet metal is shaped as shown in Figure P9.24. Compute the x and y coordinates of the center of mass of the piece. Figure P9.24
Two small-sized objects are placed on a uniform9.00/rmkg plastic beam 3.00 long,rmm . Assume that m1= 8.20kg and kg =7.45kg Find the location of the center of mass of this system by setting x = 0 at the right end of the beam.
Two ice skaters, with masses of 75 kg and 55 kg, stand facing each other on a 15-m-wide frozen river. The skaters push off against each other, glide backward straight toward the river’s edges, and reach the edges at exactly the same time. How far did the 75 kg skater glide?
A 5427.28 kg open train car is rolling on frictionless rails at 25.15 m/s when it starts pouring rain. A few minutes later, the car's speed is 15.38 m/s. What mass of water has collected in the car?
The vector position of a 3.50-g particle moving in the xy plane varies in time according to r rightarrow = (3i^ + 3j^ )t + 2j^ t2,where t is in seconds and r rightarrow is in centimeters. At the same time, the vector position of a 5.50-g particle varies asr2 rightarrow = 3i^ - 2i^t2 - 6j^ t. At t = 2.50 s, determine (a) the vector position of the center of mass, (b) the linear momentum of the system, (c) the velocity of the center of mass,(d) the acceleration of the center of mass, and (e) the net force exerted on the two-particle system.
A uniform piece of sheetmetal is shaped as shown in Figure P9.48. Compute the x and y coordinates of the center of mass of the piece.
A block of mass m = 1.50 kg is at rest on a ramp of mass M=4.50 kg which, in turn, is at rest on a frictionless horizontalsurface (Fig. P8.13a). The block and the ramp are alignedso that each has its center of mass located at x = 0. Whenreleased, the block slides down the ramp to the left and theramp, also free to slide on the frictionless surface, slides tothe right as in Figure P8.13b. Calculate xramp, the distance theramp has moved to the right, when xblock = -0.300 m.

SEE MORE QUESTIONS

Recommended textbooks for you

Classical Dynamics of Particles and Systems

Physics

ISBN:

9780534408961

Author:

Stephen T. Thornton, Jerry B. Marion

Publisher:

Cengage Learning

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Physics for Scientists and Engineers, Technology …

Physics

ISBN:

9781305116399

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Classical Dynamics of Particles and Systems

Physics

ISBN:

9780534408961

Author:

Stephen T. Thornton, Jerry B. Marion

Publisher:

Cengage Learning

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Physics for Scientists and Engineers, Technology …

Physics

ISBN:

9781305116399

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Physics for Scientists and Engineers with Modern …

Physics

ISBN:

9781337553292

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

Physics for Scientists and Engineers: Foundations…

Physics

ISBN:

9781133939146

Author:

Katz, Debora M.

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS