Mechanical Engineering Answers

A vertical double acting steam engine develops 80 kW at 240 rpm. The maximum
fluctuation of energy is 25% of the work done per stroke. The maximum and minimum
speeds are not to vary more than ±1% of the mean speed. Find the mass of the flywheel,
if the radius of gyration is 0.65 m

What is the value of the crosstrack error, governed by the ODE e'(t) = -ke(t), at t=2 given that e(0)=4 and k = 1?

Please give your answer with the precision of 2 decimal places.

Compute the steering angle (in degrees) required for an autonomous vehicle with pure pursuit lateral control for following the desired path based on the information below.

The lookahead distance is 15 m; the car length is 5 m; the angle between the vehicle’s body heading and the lookahead line is 60°.

Compute the radius from the instantaneous center of rotation to the center of the vehicle rear axle (in m) required for an autonomous vehicle to follow the desired path based on the information below.

The lookahead distance is 10 m; the car length is 4 m; the angle between the vehicle’s body heading and the lookahead line is 30°. Your answer should be an integer.

In the adjoining figure, the diameters vary linearly between the
entry and exit from d1 to d2 (d1 > d2) respectively. The
velocity at the entry is given by V⃗

1 = V1î m/s. Assume the

flow is incompressible and therefore, A1V⃗

1 = AV⃗ , where A & V⃗
are area and velocity of the nozzle at any section x = x (x ≤
L). Find [5]
a) V⃗
2 as a function of x
b) Acceleration of a fluid particle, a using Eulerian approach
c) Acceleration of the fluid particle, a using Lagrangian approach

it is known that the sg (specific gravity) of oil is 0.95 sg of mercury (hg) is 13.6. h1 = 90cm h2 = 15 cm h3 = 50 cm

a horizontal beam simply supported in a span of 10m carries a total load of 100kg. the load distribution varies parabolically from zero at each end to maximum at mid span. Calculate the values of B.M at intervals of 1m and plot the B.M diagram. State the values of
A. Maximum B.M
B. Shearing force at quarter span

Two beams, A and B, made with the same material are to be subjected to a three-point bending test. Beam A has a dimension of 1.25 in x 2.5 in x 0.5 in while Beam B has a dimension of 1.5 in x 1.5 in x 0.75 in. Compare the respective fracture loads that will cause the beams to fail.

Let’s consider the below geometrical layout.
1- Demonstrate that in arbitrary point “M”, the radius (r) has the expression