(Solved): Notes - ABCDE is the first five digits of your student number. - The assignments are to be submitt ...

Notes - $$ABCDE$$ is the first five digits of your student number. - The assignments are to be submitted as a sinale PDF file containing the solutions prepared in Ms Office Word. No photograph is allowed in the solution part. - A cover page should be placed in the assignment containing student's name, number, subject, date etc. - Optionally, a package program (MATLAB, Mathematica, etc.) may be used to solve the equations of motion analytically. - Assignments will be sent by e-mail. E-mail: [email protected] Question 1 With the hydraulic lifting table shown in the figure, a box with a mass of $$(ABC)\mathrm{kg}$$ is lifted with a vertical acceleration of $$(A+C)\mathrm{mm}/{\mathrm{s}}^2$$. The diameter of the piston is $$(A+B+D)mm$$ and mass of the uniform lifting table $$\mathrm{FH}$$ is $$(\mathrm{C}+\mathrm{D}+\mathrm{E})\mathrm{kg}$$. Neglecting the mass of the links $$BF$$, $$A_0\mathrm{H}$$ and $$CD$$, a) Indicate the joints and links and evaluate the degrees of freedom of the lifting table mechanism. b) Calculate the pressure force to be applied to the hydraulic piston and the reaction forces in all joints if the rate of hydraulic cylinder is $$(B+E)\mathrm{mm}/\mathrm{s}$$ for the given instant. c) Determine the required power of the linear actuator to drive hydraulic cylinder and oil pressure inside the cylinder. d) Calculate the angular velocities and accelerations of the connecting links $$BF,CD$$ and $$A_{0}H$$.