1. A 9.0 m uniform beam is hinged to a vertical wall and held horizontally by a 5.0 m cable attached to the wall 4.0 m above the hinge, as shown below. The metal of the cable has test strength of 1.00 KN (kilo-Newton), which is the maximum tension magnitude T the cable can support. That means the cable will break if T is greater than this value. Let the mass m of the beam be 10.00 kg. (a) Will the cable break under the load of the beam mass given? If the answer is no, then what is the tension T? Hint: Set the next torques to be zero about the axis at the intersection between the beam and the wall at the hinge. THE TORQUES THAT ADD TO ZERO ARE DUE TO THE TENSION AND THE DOWNWARD WEIGHT OF THE BEAM. THEN SOLVE FOR T. Remember. The magnitude of the weight is mg. (b) What is the largest beam mass m (corresponding to the test strength) the cable can support with the given configuration shown? Hint: Set the next torques to be zero about the axis at the intersection between the beam and the wall at the hinge. THE TORQUES THAT ADD TO ZERO ARE DUE TO THE TENSION AND THE DOWNWARD WEIGHT OF THE BEAM. THEN SOLVE FOR THE MASS m. Remember. The magnitude of the weight is mg. Find the horizontal and vertical components of the force the hinge exerts on (d) the beam.

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Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).