A cantilever beam of rectangular cross section (width b=25mm, height h=100mm) is loaded by a force P that acts at the mid-height of the beam and is inclined at an angle ? to the vertical, (see Figure). Two strain gages are placed at point C, which also is at the mid-height of the beam. Gage A measures the strain in the horizontal direction and Gage B measures the strain at angle beta=60 to the horizontal. The measure strains are ?a=125x10-6 and ?b=-375x10-6.

Determine the force P and the angle ?, assuming the material is steel with E = 200 GPa and ? =1/3.

 

A block having a weight of 400 N rests on an inclined plane making an angle of 30° with the horizontal is initially at rest. After it was released for 3sec, find the distance that the block has traveled assuming that there is no friction between the block and the plane. Compute also the velocity after 3 sec.

If time is measured along the horizontal axis or X-axis then what is measured along the Y-axis in a business cycle?

A freight car having a mass of 15 Mg is towed along the horizontal track. If the car starts from rest and attains a speed of 8 m/s after traveling a distance of 150 m, determine the constant horizontal towing force applied to the car. Neglect friction and the mass of the wheels.