)The Minute hand on Big Ben weights 40 lb and is 10 ft long. Its CG is 4 ft from the pivot. Calculate the mR product and angular location needed to statically balance the link. Design a physical counterweight, positioned close to the pivot in the shape of a sphere. Find the radius of the sphere. State any assumptions made.

Ahelical coil spring has a mean diameter of 50 mm, a wire diameter of 5.5 mm and is wound with a pitch of 10 mm. the spring steel has an ultimate strength of 1250 mpa. find the force needed to compress the spring solid and the wire stress in this condition. state whether the spring will return to its initial length.

Steel balls 12 mm in diameter are annealed by heating to 1150 k and then slowly cooled to 400 k in an air att 325 k and h -20 w/m2 k. assume the properties of the steel to be k- 40 w/m k,p 7800 kg/m3, and cp 600 j/kg k. a. determine whether lumped system method can be used to analyze this problem and if so why" b. determine the time required for the cooling process. c. determine the total amount of heat lost from each ball to the ambient air

Asimply supported beam abc of length l has ab of length hl and second moment of area / and bc of length hl and second moment of area i2. determine the strain energy stored in the beam when it is subject to a vertical load f at its midpoint and the consequential central deflection.