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1. Forces and Moments acting on an entire system.

There is no acting force on A. I just calculated that because if there is a moment at B, then having the 200N force at D would be the equivalent of having a Force of 600N at A. Am I wrong?
2. Forces and Moments acting on an entire system.

Homework Statement The ceiling-mounted bicycle rack (shown in "Capture" image in attachments) with dimensions p = 50 mm, q = 1000 mm and r = 150 mm for a bicycle that weighs F = 200 N. The rack is to be made from two parts, ABC and BD, cut from a steel tube and then welded together at B...
3. Linear Algebra - Show that this defines an inner product?

Homework Statement If x = (x1, x2) and y = (y1, y2).... Show that <x,y> = 3(x1)(y1) - (x1)(y2) - (x2)(y1) + 3(x2)(y2) Homework Equations I know that to define it as an inner product space, the following must be correct: <x,y> = <y,x> a<x,y> = <ax,y> <x,y+z> = <x,y> + <x,z>...
4. Find a transition matrix from bases?

Homework Statement I have 2 bases, a = {1, x, x^2} and b = {-2 - 2x + 3x^2 , 1 + 2x - x^2 , -1 - x + 2x^2} of P2. Find the transition matrix Pab. How is this done?!?! Homework Equations Since this is Linear Algebra, there aren't really any relevant "Equations" as such. More logic...
5. Find a transition matrix from bases problem

Homework Statement I have 2 bases, a = {1, x, x^2} and b = {-2 - 2x + 3x^2 , 1 + 2x - x^2 , -1 - x + 2x^2} of P2. Find the transition matrix Pab. How is this done?!?! Homework Equations Since this is Linear Algebra, there aren't really any relevant "Equations" as such. More logic based...
6. Find tension in cables with forces acting on them.

Homework Statement LOOK AT ATTACHED IMAGE FOR DIAGRAM OF QUESTION Assuming the pulley at D to be frictionless, determine the force values in cable members AC and BC due to the 300 N weight force for the system depicted in Fig. 3. Homework Equations F=ma (or F=mg) Sin cos and tan...
7. Differential Equations - Mixture in an overflowing tank

HOW IS THE FOLLOWING QUESTION DONE? Milk chocolate is being produced in a 300 litre tank, which initially contains 100 litres of milk. The following things then occur simultaneously:  1. Liquid cocoa (made up of equal parts cocoa solids and cocoa butter, both in liquid form) is added at...
8. How do I find percentage of a substance in a mixture?

How is this question done?? Milk chocolate is being produced in a 300 litre tank, which initially contains 100 litres of milk. The following things then occur simultaneously:  1. Liquid cocoa (made up of equal parts cocoa solids and cocoa butter, both in liquid form) is added at a rate...
9. Projectile motion: Finding flight distance with air resistance

Homework Statement A ball of mass 0.9kg is shot from a slingshot at an angle of 60° from the ground. The slingshot is sitting 1m above the ground. The elasticity of the slingshot is k = 700N/m. Take gravity = 10m/s^2 Air resistance must be taken into account also. Use the formula D = (...
10. Projectile motion: Finding flight distance with air resistance

Homework Statement A ball of mass 9N is shot from a slingshot at an angle of 60° from the ground. The slingshot is sitting 1m above the ground. The elasticity of the slingshot is k = 700N/m. Take gravity = 10m/s^2 Air resistance must be taken into account also. Use the formula D = (...
11. How to find critical location of failing

If an object has a maximum allowable stress and a known width and thickness, how can the critical location of failing be found in the object?
12. Finding maximum possible load in an item

How is the following question done? Homework Statement An offset link is connected to 2 cables like shown in the image attached. The offset link has a width 'w', of 200mm (or 0.2m) and a thickness of 35mm (or 0.035m). It has an allowable normal stress of 74 MPa. What is the maximum...