Abstract
In this chapter, we will learn the theorem of momentum for one particle, and for one rigid body system. In particular, the motion theorem of the mass center for the rigid body is given.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Exercises
Exercises
-
11.1
As shown in Fig. 11.6, a slender bar AB rotates with respect to point O. There is a rope linked at points A and D. The length of the bar is L, mass is m, and the centroid is point C. When the rope is suddenly cut by a knife, please give the instantaneous angular acceleration of the bar, and the accelerations of point C and point B.
-
11.2
As demonstrated in Fig. 11.7, a bar AB with the length L is contacting with a smooth surface at point B, and the angle between the level and the bar is \( \alpha \). Point C is the mass center of the bar. Please determine the orbit equation of point C in the process of falling with respect to the time t.
Answers
-
11.1
\( a_{C} = \frac{3g}{7},\,a_{B} = \frac{9g}{7} \)
-
11.2
\( x_{c}^{2} + y_{c}^{2} = \frac{{l^{2} }}{4} \)
Rights and permissions
Copyright information
© 2019 Metallurgical Industry Press, Beijing and Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Liu, J. (2019). Theorem of Momentum. In: Lecture Notes on Theoretical Mechanics. Springer, Singapore. https://doi.org/10.1007/978-981-13-8035-8_11
Download citation
DOI: https://doi.org/10.1007/978-981-13-8035-8_11
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-8034-1
Online ISBN: 978-981-13-8035-8
eBook Packages: EngineeringEngineering (R0)