A man is required to pay P200 at the end of 160 days or P190 at the end of 40 days. Determine the rate of interest.

A uniform steel beam AB of Weight  is loaded as indicated in the Figure 1 below:

Figure 1.

It is required to determine:

1. The magnitude of the reactions and , in the absence of the external force F.

1. the magnitude of the load F acting at B that makes the reaction force at A to be zero.

1. the magnitude of when F is acting at B.

A coiled spring with 5 cm of outside diameter is required to work under the load of 190 N. The wire diameter is 5 mm, the spring is to have 6 active coils and the ends are to be closed and ground. Determine the total number of coils. The modulus of rigidity is 809 GPa and the mean radius is to be 23 mm, with 7 mm pitch of the spring

A shell-and-tube type of heat exchanger is designed to cool 1.512 kg/s of oil (Cp 2093 J/kg K) from 65.56° C to 42.22° C by using 1.008 kg/s of water at a inlet temperature of 26.67 °C. Assuming an overall heat transfer coefficient of 681.6 W/m²K and a single-shell, 2 tube pass type of heat exchanger determine the required heat transfer area. use the effectiveness method.