1- True or False for the following statements. If False, please explain why (3%

Question

1- True or False for the following statements. If False, please explain why (3% each In Normal-Tangential (N-T) coordinates, the acceleration exists in both N and T directions, so are the velocity and position vectors. a) in r-9 coordinates, the acceleration exists in both r and directions, so are the velocity and position vectors b) For velocity of particle A relative to B (observed from B), is the same as the velocity f (observed from A) but opposite in sign. c) d) For a constrained motion, we can define multiple datum planes, in determining the kinetics directions and the datum can not be independent to each other. For kinetics problems, which involves the force and kinematics, the equation in deal with the problem is F-ma relationship. This equation does not dependent on any coordinate system adopted for analysis, i.e., always F=ma along any axis. e) Select the most appropriate item for the question below (3% each) a) For kinematics, it is the study of relationships among a. Force, Mass, Acceleration b. Force, Momentum, Velocity c. Position, Velocity, Energy d. Position, Velocity, Acceleration b) The dot product of 2 vectors, it is: a. b. c. d. The product of their magnitudes normal to each other The addition of their magnitudes in the same direction The product of their magnitudes along the same direction None of above

Explanation / Answer

ll) Position , Velocity , Acceleration

because kinematics is a branch of classical mechanics and also it studies only the motion of a body without considering the forces acting on the body

II) b, Product of the magnitude along the same direction

example

(a1i+a2j+a3k).(b1i+b2j+b3k)=a1.b1+a2.b2+a3.b3

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