# Recent content by proctortom

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...