A70 in. long steel bar (e =30 x 10^6 psi) of rectangular cross-section 1.5 in. x 2 in. is pinned at each end. it is subjected to an axial compressive stress of 33 ksi. determine the buckling load. verify that the euler's equation is valid for the given length.

Determine the damped natural frequencies and the steady state response of a decoupled damped forced two degrees of freedom system. 10ä1 + 2q1 20q1 10 cos t; 10q2 +4q2 + 40q2 10 cos t

For a gate width of 2 m into the paper, determine the force required to hold the gate abc at its location.

An engine, weighing 3000 n, is supported on a pedestal mount. it has been observed that the engine induces vibration into the surrounding area through its pedestal at the maximum operating speed. determine the stiffness of the dynamic vibration absorber spring in (n/m) that will reduce the vibration when mounted on the pedestal. the magnitude of the exciting force is 250 n, and the amplitude of motion of the auxiliary mass is to be limited to 2 mm note: in this question type-in right numbers, no decimals, no fractions, no unit. approximate to right number if needed