Software problems on mechanical systems for mechanical engineers

Question 1: 
Draw the profile of a cam operating a roller reciprocating follower having a lift of 40mm. The roller diameter is 20mm. The minimum radius of the cam is 30mm. The cam raises the follower with SHM for 110 degree of its rotation followed by a period of dwell for 80 degree. The follower descends for next 120 degree rotation of the cam with uniform acceleration and deceleration followed by a dwell period. Consider, the cam rotates at a uniform speed of 120 rpm.

Question 2:
A piece of chalk is subjected to combined loading consisting of a tensile
load P and torque T .The chalk has an ultimate strength σu as determined in a simple tensile test. The load P remains constant at such a value it produces a tensile stress 0.51 σu on any cross-section. The torque T is increased gradually until fracture occurs on some inclined surface.

Assuming that fracture takes place when the maximum principal stress σ1 reaches the ultimate strength σu, determine the magnitude of the torsional shear stress produced by torque T at fracture and determine the orientation of the fracture surface.

Solve by making a Mohr`s circle either using Matlab OR any other coding C and C++

Question 3:
A common problem with water dispensers is the decreasing flow rates when the water level falls, at times this becomes extremely irritating when flow rates become extremely low. Think about what could be done to eliminate this problem and ensure maximum possible flow rates at all time. Imagine yourself filling a bottle from a dispenser how irritating would it be when the level goes down to the orifice itself and it takes hours filling up a bottle. And eventually you are left with the only choice of tilting the container to increase the flow.

Now let us be logical when could we get a maximum flow rate?????
YOU MAY ASSUME :
A water tank of a cuboidal shape has water filled up to the brim initially. The dimensions of the tank are:
Length = L
Height = H
Width = W
There is an orifice on the side of the tank at a height ‘h’. Water flows out of the orifice and the level of water in the tank starts receding. In order to maintain maximum flow rate of water at all times the tank is tilted about the vertical axis at point A.


Input:
Height of the orifice ‘h’ .
Dimensions of the tank ‘L’, ‘H’, ‘W’ .
Output:
Plot a graph between angle of tilt ‘α’ and time ‘t’ and find the time in which the water would flow out when ensuring maximum flow rates at all times.