A lid-support mechanism is being designed for a storage chest to limit the angular veloc...

A lid-support mechanism is being designed for a storage chest to limit the angular velocity of the 10-lb uniform lid to 1.5 rad/sec for θ = 0 when it is released from rest with θ essentially equal to 90°. Two identical mechanisms are included as indicated on the pictorial sketch. Specify the necessary stiffness k of each of the two springs, which are compressed 2 in. upon closure. Neglect the weight of the links and any friction in the sliding collars C. Also, the thickness of the lid is small compared with its other dimensions.