Which of the following beam(s) is/are statically indeterminate?
A horizontal beam of length 1200 mm is pinned at the left end and is resting on a roller at the other end as shown in the figure. A linearly varying distributed load is applied on the beam. The magnitude of maximum bending moment acting on the beam is _______ N.m. (round off to 1 decimal place)
![GATE ME 2024 Strength of Materials - Shear Force and Bending Moment Question 2 English](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lx72akcr/d3cc445d-d367-44af-95bd-c7b7d3a34c4a/3614a5b0-261b-11ef-a279-4f9760cfcb83/file-6y3zli1lx72akcs.png?format=png)
The figure shows a thin cylindrical pressure vessel constructed by welding plates together along a line that makes an angle $\alpha = 60^\circ$ with the horizontal. The closed vessel has a wall thickness of 10 mm and diameter of 2 m. When subjected to an internal pressure of 200 kPa, the magnitude of the normal stress acting on the weld is _________ MPa (rounded off to 1 decimal place).
![GATE ME 2024 Strength of Materials - Thin Cylinders Question 3 English](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lx72xtqs/a5089768-20bc-42b7-89cd-063597571e8f/bcf1b940-261d-11ef-a279-4f9760cfcb83/file-6y3zli1lx72xtqt.png?format=png)
The change in kinetic energy $\Delta E$ of an engine is $300$ J, and minimum and maximum shaft speeds are $\omega_{min} = 220$ rad/s and $\omega_{max} = 280$ rad/s, respectively. Assume that the torque-time function is purely harmonic. To achieve a coefficient of fluctuation of $0.05$, the moment of inertia (in kg.m$^2$) of the flywheel to be mounted on the engine shaft is