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For a given area and origin, a particular set of reference points P and Q lie on Mohr’s Circle where P lies to the left of the center and Q to the right and the POI about the P-Q axes is non-zero.  The P axis on the cross-section ________.

The clamping brake mechanism is composed of members ABC and BDE and they are pinned to a bike frame at B.  The applied force in the cable is known and fixed at C.  Assuming that no other unknowns have been solved for previously, from the FBD of the clamping member ABC, determine the single equation of equilibrium that will allow for the normal brake force at the rim at A to be found directly without requiring the use of any other equations of equilibrium.

Rollers support the elevator on sides E and D.  If the elevator has a mass of 617 kg, determine the tension in the cable developed at the motor at A.

If F = 2.6 kN, determine the magnitude of the equivalent resultant force at A.  

Assuming that no unknowns have been solved for previously, determine how many unknowns will show up on the free body diagram of the properly aligned bar ABC if the supports at A, B and C are all journal bearings.  

The dot product results in a(n) ___________.  

Determine the tension in cable AC.  The tension in AD is 88 lb, the unit vector of AD is [18/55 i – 26/55 j + 45/55 k] and the unit vector of AC is [-24/51 i + 0 j + 45/51 k]. The weight of the crate is unknown.

Assuming the magnitude of force A is non-zero, it causes moments about which axes?  

Assume that the tension in the cable is known and creates force vector F applied to the pipe at B.  To put the force F in Cartesian vector form, you would use the following approach:  

Phosphorus trichloride reacts with chlorine gas in an equilibrium process to produce phosphorus pentachloride: PCl3(g) + Cl2(g) ⇌ PCl5(g)     ∆Hrxn = −88 kJ/molrxn The following particle-level diagram represents the contents of the vessel in an equilibrium mixture at 546 K If each particle in the diagram represents a partial pressure of 1.00 atm, what is the value of Kp for the equilibrium mixture at 546 K? Enter your numeric answer to 3 decimal places