Rotating bodies and angular momentum - rolling objects

A sphere of radius R, mass M and moment of inertia I rolls down a slope that is inclined at an angle to the horizontal... Please find all details on attached file.

Rotating bodies and angular momentum - rolling objects

(See attached file for full problem description)

Rotating bodies and angular momentum - rolling objects

Infomation on question is given on PDF attachment. --- (See attached file for full problem description)

Rotating bodies and angular momentum - rolling objects

I have answers for (a) and (b) but (c) is elluding me! Please shed some light on this supposedly simple problem concerning an object rolling down a slope! See attached file for full problem description. Thank you

Parametric/simultaneous equations and matrices.

See attached file for full problem description with diagrams and equations --- Parametric equations and matrices. The diagram below shows a line defined by the parametric equations , which crosses the x- and y-axes at the points (a, 0) and (0, b), respectively. The region marked A, is bounded by this line, the x- axes, the y- axes and the line x = u (with ). a) From the parametric equations , deduce the equation of the line in the form y = mx + c. b) Find the values of a and b. c) Determine an expression for the area A of the bounded region, in terms of u. d) i) Find the completed square form of the expression in part (c). ii) By using the expression in part (d) (i), or ... click for more