July 2015

What is the period of: f(x)=2sin(-3x)
The phase shift of the function: f(x)=2cos(3x-pi)

Following is a discussion on the Reviewer item titled: 227 - Moment of resultant force about a point.
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Following is a discussion on the Reviewer item titled: 226 - Moment of force about different points.
Feel free to add your own comments!

A flanged bolt coupling consists of two concentric bolt circles. One bolt circle consists of six 0.5-in-diameter steel bolts on a circle 9 inches in diameter and the other consists of eight 0.5-in-diameter steel bolts on a circle 12 inches in diameter. What is the shearing stress in the bolts if a torque of 7 kip-ft is to be carried by the assembly?

The solid compound shaft, made of three different materials, carries the two torques shown. (a) Calculate the maximum shear stress in each material. (b) Find the angle of rotation of the free end of the shaft. The shear moduli are 28 GPa for aluminium, 83 GPa for steel and 35 GPa for bronze.

The solid compound shaft, made of three different materials, carries the two torques shown. (a) Calculate the maximum shear stress in each material. (b) Find the angle of rotation of the free end of the shaft. The shear moduli are 28 GPa for aluminium, 83 GPa for steel and 35 GPa for bronze.

A spherical container of negligible thickness holding a hot fluid at 1400
and having
an outer diameter of 0.4 m is insulated with three layers of each 50 mm thick
insulation of k1 = 0.02: k2 = 0.06 and k3 = 0.16 W/mK. (Starting from inside). The
outside surface temperature is 300C. Determine (i) the heat loss, and (ii) Interface
temperatures of insulating layers.

need explaination plss..