A mass on the end of a spring which is hanging vertically is raised up and let go. It then oscillates between 2m and 1.5m above the floor and completes 32 cycles in one minute. The height, h metres, of the mass above the floor after t seconds can be modelled by the function h=acos(pi t / 180)...
Pile foundations are the part of a structure used to carry and transfer the load of the structure to the bearing ground located at some depth below ground surface.
A concrete pile for a domestic dwelling has a radius of 1000 mm at its base, and 2000 mm at the top. It is 2000 mm deep and...
Find the second moment of area about the vertical axis for the cross-section of the follwing shape.
i cant get the pic to paste so will describe it:
it is a rectangle of horizontal length 8 and vertical height 6.
if we let (0,0) be at the lhs bottom corner, then a circle has been cut...
i am such an idiot!! I put the point on BC and not AP!! your post made me scratch my head when you mention a right angle triangle! this led me to discover i had the wrong point!! DOH
i now have answer as i get the quadratric i was after :)
i know ABC is 90. the triangle left is not a nice one which is why i am saying com of APC can be worked using com of APC and ABP which as they are right angled i know com is 1/3 of the distance of base and height from right angle.
then as i dont care where on BC just that it is on BC i let x...
ok,ill try and outline my idea a bit better/.
consider the shape with APC cut out.
i know BG (G=com) is vertical if shape is suspended at B.
if BC is vertical then G lies on BC
then the shape has com (0,y bar) if i measure from B
so i need to find the com off the new shape and set the...
a triangle ABC with AB=BC=2a and AC=2a rt(2) is drawn on a uniform lamina. A semi-circle is drawn on BC as diameter,on the opposite side of BC from A and the area enclosed by the triangle and the semi-circle is cut out.
The resulting lamina is suspended freely from B,show that AB makes an angle...
having a lot of trouble with rel motion agaisnt a current. got all other questions in the exercise but these allude me. my methods must be ok if im getting the non current questions right so only need a nudge in right direction.
a motorboat moving at 8km/h relative to the water travels from A to a point B 10km whose bearing from A is 150. it then travels to C,10km from B and due west of B. if there is a current of constant speed 4km/h from north to south,find the 2 courses to be set.
having a bit of trouble with...