A) The Figure below shows an illustration of a ballistic pendulum that is used for determining the velocity of bullets. The length L = 1.0 m and mass of the block A is M =10 kg. When a bullet of mass m = 38 g is fired into the block, the pendulum swings to angle 0 = 26 degree. Calculate the velocity of the bullet just before it embedded into the block. Assume that bullet stays lodged in block A and the mass of the rod length 1.0 holding block A is negligible. [Answer in m/s] b) Given that the velocity of a bullet of mass m = 40 g that enters the block A of mass 10 kg in Fig is 280 m/s and length L = 0.9 m, calculate the maximum angle 0 in degrees that the block A will swing to before swinging back down. [Answer in degrees]
Theory and Design for Mechanical Measurements
Measurement is a term that refers to analyzing a manufactured component regarding the degree of accuracy for dimensions, tolerances, geometric profile, roundness, flatness, smoothness, etc. Measurement always involves comparing the manufactured component or the prototype with a standard specimen whose dimensions and other parameters are assumed to be perfect and do not undergo changes with respect to time.Precisely in mechanical engineering the branch that deals with the application of scientific principles for measurements is known as metrology. The domain of metrology in general deals with various measurements like mechanical, chemical, thermodynamic, physical, and biological measurements. In mechanical engineering, the measurements are limited to mechanical specific such as length, mass, surface profile, flatness, roundness, viscosity, heat transfer, etc.
Basic principles of engineering metrology
Metrology is described as the science of measurement, precision, and accuracy. In other words, it is a method of measurement based on units and predefined standards.
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A) The Figure below shows an illustration of a ballistic pendulum that is used for determining
the velocity of bullets. The length L = 1.0 m and mass of the block A is M =10 kg. When a
bullet of mass m = 38 g is fired into the block, the pendulum swings to angle 0 = 26 degree.
Calculate the velocity of the bullet just before it embedded into the block. Assume that bullet
stays lodged in block A and the mass of the rod length 1.0 holding block A is negligible.
[Answer in m/s]
b) Given that the velocity of a bullet of mass m = 40 g that enters the block A of mass 10 kg
in Fig is 280 m/s and length L = 0.9 m, calculate the maximum angle e in degrees that the
block A will swing to before swinging back down. [Answer in degrees]
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