The general process (not referenced to Figure 1) to calculate the moment of a force about a specified axis is as follows: The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R not on the line through P and Q) can be calculated using the scalar triple product, MPQ = upQ TX F, where r is a position vector from any point on the line through P and Q to R and upq is the unit vector in the direction of line segment PQ. The unit vector up is then multiplied by this magnitude to find the vector representation of the moment. As shown in the figure, the member is anchored at A and section AB lies in the x-y plane. The dimensions are ₁ = 1.3 m, y₁ = 1.8 m, and z₁ = 1.6 m. The force applied at point C is F = [-235 i +95 j + 130 k] N. Part A - Finding the scalar triple product Which of the following equations correctly evaluates the scalar triple product of three Cartesian vectors R, S, and T? You did not open hints for this part. ANSWER: OR STR(ST-ST) i-R,(ST-ST)j+R (ST, - S₁T.) k R-SXT=R(ST-ST)+R(ST-ST)+ R(ST, - S₁T.) R.SXT = R(S,T-ST) i+R,(ST-ST)j+R(ST, - S₁T.) k = R-SXT R. (ST - STy) - R(ST-ST)+R(ST, - S₁T) Part B - Calculating the moment about AB using the position vector AC Using the position vector from A to C, calculate the moment about segment AB due to force F. Express the individual components to three significant figures, if necessary, separated by commas. You did not open hints for this part. ANSWER: MAB =[ i, j, k] N-m Part C - Calculating the moment about AB using the position vector BC Using the position vector from B to C, calculate the moment about segment AB due to force F. Express the individual components to three significant figures, if necessary, separated by commas. You did not open hints for this part. Уг B

73 alll & O... Q1:- The objective of the gear train is to calculate:- 17 responses Speed ratio Number of gear 29.4% teeth The applied torque 5.9% All of these None of these 58.8% Q2:- The speed ratio of a compound gear train can be obtained by using the following Copy chart formula:- 17 responses Product of teeth on driven gears divided by the 11.8% product of teeth. Product of teeth on driver gears divided by the product of teeth. 5.9% Product of teeth in driven aears

A gear box contains 3 sizes of gears, 8 tooth, 32 tooth and 64 teeth. The 8 tooth gear is driving the 64 tooth gear and is turning 48 turns/second - how fast is the 64 tooth gear turning?

a) Figure Q3a shows a stage 1 to stage 2 compound gear train through from Gears A, B, C to D. If the input shaft rotates at 1300 revolutions per minute (rpm), calculate the angular velocity (w) in rad/s at the output shaft of the compound gear train. See below for the number of teeth for Gears A, B, C & D. [10 marks] Gear A: 44 Teeth Gear B: 96 Teeth Gear C: 60 Teeth Gear D: 140 Teeth Gear B- -Stage 2 Gear A- Input shaft- Stage 1- Gear C- -Gear D -Intermediate shaft -Output shaft Figure Q3a b) A motor with a power rating of 3600 Watts is coupled to the input shaft of the pinion (or driver) Gear A as shown in Figure Q3a. Calculate the torque at the input shaft and at the output shaft. Assume no losses and 100% efficiency. [5 marks] c) Draw a typical indicator diagram of pressure versus volume (p-v) to illustrate the actual Otto cycle for a four-stroke reciprocating internal combustion [RIC] engine. Clearly label each part of the p-v indicator diagram and clearly indicate when the piston…

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If there is at least one gear axis rotates around the other axis, the gear train is ordinary gear train. please quickly true or false

Consider the gear train below where Gear D has 80 teeth and Gear A is spinning with 600 rpm. D 60 teeth the A 40 teeth 20 teeth a. What is the speed of Gear D? We want to adjust the gear train. We can only change out Gear C for a different sized gear. Gear A will continue spinning with 600 does our new Gear C need to have so that Gear D b. How many teeth rpm. spins with 200 rpm? B.