Chapter 12, Problem 108P

Generate the kinematic diagram of the following mechanism. Then, draw their graphs and calculate their degrees of freedom (DoF) using Gruebler's formula.

An elastic bar of length L = 1m and cross section A = 1cm2 spins with angular velocity ω about an axis, as shown in the figure below. The radial acceleration at a generic point x along the bar is a(x) = ω2x, where ω= 100rad/s is the angular velocity. The bar is pinned on the rotation axis at x = 0. A mass M = 1kg is attached to the right end of the bar. Due to the radial acceleration, the bar stretches along x with displacement function u(x). The displacement u(x) solves the BVP (strong form) sketched below:              d dx (σ(x)) + ρa(x) = 0 PDE σ(x) = E du dx Hooke’s law (1) u(0) =?? essential BC σ(L) =?? natural BC where σ(x) is the axial stress in the rod, ρ= 2700kg /m3 is the mass density, and E = 70GPa is the Young’s modulus   1. Define appropriate BCs for the strong BVP 2. Find the solution of the strong BVP analytically 3. Derive the weak form of the BVP.

Gruebler's formula for the following mechanism?

w/I - | العنوان I need a detailed drawing with explanation SOLL эт 4 حكا The guide vane angle of a reaction turbine (Francis type make 20° with the tangent. The moving blade angle at entry is 120°. The external diameter of runner is 450 mm and the internal diameter is 300 mm. Runner width at entry is 62.5mm and at exit 100mm. Calculate the blade angle at exit for radial discharge. 96252 -20125 750 ×2.01

Compressor Selection: (Q1)   While a manufacturing cell is running, the calculated flow rate of air into a compressor is 40 SCFM.   Which compressor from this list should be selected?   A. A compressor that uses 80 SCFM   B. A compressor that uses 40 SCFM   C. A compressor that delivers 80 SCFM   D. A compressor that delivers 40 SCFM

SCFM Calculation: (Q1)   A pneumatic system running a manufacturing cell works on 80 psi and requires a flow rate of 10 CFM to operate.   A compressor must be selected to run the cell. Calculate the amount of air going into the compressor to run this cell. (Hint: This will be in SCFM)   Accurate to two decimals. Do not write the unit.

: +00 العنوان >scóny : + 개 العنوان I need a actanicu urawing wit д い Ants nation Taxi pu +9635. The guide vane angle of a reaction turbine (Francis type make 20° with the tangent. The moving blade angle at entry is 120°. The external diameter of runner is 450 mm and the internal diameter is 300 mm. Runner width at entry is 62.5mm and at exit 100mm. Calculate the blade angle t exit for radial discharge. ۲/۱ = 44 985

:+B العنوان I need a actanicu urawing with Car nation The guide vane angle of a reaction turbine (Francis type make 20° with the tangent. The moving blade angle at entry is 120° The external diameter of runner is 450 mm and the internal diameter is 300 mm. Runner width at entry is 62.5mm and at exit 100mm. Calculate the blade angle at exit for radial discharge.

Gay-Lussac's Law: (Q2)   A gas in a pressure vessel has a temperature of 40 °C and a pressure of 20 psi. Heat is added and its pressure rises to 80 psi.   What is the new temperature in °C?    Use Two decimal places. Do not write the unit.