Mathematics calculus, algebra and ode. Mathematics & Economics (Coursework Sample)
Engineering
source..MECHANICAL ENGINEERING TEST ASSIGNMENT
The test paper is divided into two sections: Total Marks - 50
Section 1: Numerical – 20 Marks
Section 2: Theoretical – 30 Marks
Section 1- Numerical
1 We have a uniform bar, which is half a meter long. The area of cross section of the bar is 5 × 10-4 m2. Also, the Young s Modulus is 200 GPa. The density of bar is 7260 kg/m3. We know that the bar is fixed from one end. See the figure given below:
We apply a 1kN load (consider the load to be static) axially at joint 2, along u2. Under this condition, the stress induced in the bar is found out to be x MPa.
Also, the natural frequency of vibration is of the form:
pq×10r
Where, p and q are natural numbers and the fraction is in reduced form.
The value of (p+q) – (x+r) is?
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