For the following questions answer them individually
An Aluminium object is made of a solid cone of height ‘h’ and base diameter D attached toa solid cylinder of diameter D and height ‘$$\frac{h}{2}$$’ as shown in figure. It is kept inclined touching to a vertical wall at point ‘A’ and hinged at. point B cr the floor. The object stays in this inclined position without going to vertical position (axis. perpendicular to the floor), only if. $$\theta$$ is less than
A hollow MSpipe is kept ona smoothstraight edge with the pipe mid pointsitting on it. A load “W’ Newtonsis applied at the ends which is keeping the pipe balanced in the horizontal condition. what is the safe maximum load ‘W’that can be applied withoutyielding the tube. Consider the self weight of the tube as ‘p’ $$\frac{N}{m}$$
Diameter of the pipe is 'd', Youngs modulus of pipe is E, Allowable yield stress is $$\sigma$$
A car crashes against a wall. Theinitial velocity at collision is 15$$\frac{m}{sec}$$ and the velocity after collision is 2.6$$\frac{m}{sec}$$ in the opposite direction. The massof the car is 1500kg. what is the average force exerted on the automobile bumperif collision lasts for 0.15 seconds.
Differential equation for the variation of amountof sait ‘x’ in a tank is given by :$$(\frac{dx}{dt} )+ (\frac{x}{20})$$ = 10. where x is in kg and t is in minutes. Assuming that at time zero thereis no salt in the tank, find the time at which the amountofsalt increases to 100kg
A5 mm diameter aluminium alloy test bar is subjected to a load of 560 N. if the diameterof the bar at this load is 4 mm,thetruestrain is
A material is dimensionally stable at room temperature if its glass transition temperature $$(T_{g})$$ is