Questions -

Q1. Calculate the moment of inertia around an axis normal to the page of the object with reference to the point indicated in the subscript.

Q2. An engineering educator heads home after a long week on his 2007 Honda Shadow Aero VT750.

Part A: Calculate the fastest rate at which he can accelerate without popping a wheelie (without the front tire losing contact with the ground).

Part B: Determine the minimum coefficient of friction required in order to achieve this rate of acceleraton.

Q3. The uniform 25kg sphere slides down the hill. At this instant, ω = 0 rads/s. μ_k = 0.15.

Part A: Determine the angular acceleration of the sphere.

Part B: Determine the acceleration of point G.

Q4. The uniform 25kg slender rod is being pulled by a cord as indicated below.

Part A: Determine the angular acceleration of the rod.

Part B: Determine the acceleration of point G.

Note - Please include three significant figures, units, and vectors notation as appropriate.

Need detailed and correct solution of the above 4 simple problems.