Question

1. Two metal beams are joined together by four rivets, Each rivet has a radius of 5.0*10^-3m and is to be exposed to a shearing stress of no more than 5.0*10^8. What is the maximum tension that can be applied to each beam, assuming that each rivet carries 1/4 the total load?

2. a 0.50 kg ball is attached to one end of an aluminum wire that has a diameter of 1.6mm and an unstretched length of 0.80 m. The other end of the wire is fixed to the top of the post. The ball rotates around the post in a horizontal plane at a rotational speed such that the angle between the horizontal and the wire is 5.00 degrees. Find the tension in the wire and the increase in its length due to the tension in the wire (YAl=69Gn/m^2)

3. As a runners foot pushes off on the ground, the shearing force acting on a 9.0 mm thick sole. If the force of of 25 N is distributed over the area of sole(15cm^2) find the angle of shear(theta) given that the shear modulus of the sole is 1.9*10^5 N/m^2

4. Measured along the surface of the water, a rectangular swimming pool has a length of 20m. The pool is divided in half into a "shallow end" which is 0.8m deep and a deep end. the deep end results because at the exact halfway point of the pool the bottom slopes downward at an angle of 35 degrees until it reaches the far wall.

a) find the pressure at both ends of the pool

b) find the change in the volume of a solid rubber ball (bulk modulus = 6.9*10^9 N/m^2) of a radius 20.0 cm as it is rolled from the bottom of the shallow end to the bottom of the deep end..

5. An object is solid throughout. When the object is completely submerged in ethyl alcohol (p=806 kg/m^3) it has an apparent weight of 15.2 N. When it is completely submerged in water, it has an apparent weight of 13.7N. What is the volume of the object and the weight of the object is the air?

Answer 1