4.  Find the volume of the solid obtained by rotating the region bounded by the curves               y = x4 ,x = 0, x = 2 and y = 0 about the x-axis.    

A force of 25 N is required to hold a spring that has been stretched from its natural length of 5 cm to a length of 10 cm. How much work is done in stretching the spring from 15 cm to 20 cm?  

The tables will not separate and they weigh 114 lb total applied at G.  μ between the ground and the table is 0.28.  Determine the smallest magnitude of P required to cause the loss of static equilibrium.

Determine the tension in cable AC.  The tension in AD is 88 lb, the unit vector of AD is and the unit vector of AC is . The weight of the crate is unknown.

The dot product results in a(n) ___________.  

If F = 2.6 kN, determine the magnitude of the equivalent resultant force at A.  

If B = N.  Determine the magnitude of the moment due to the force at B about point O.

The particle is in equilibrium.  How many unknowns are there in the scalar force summation equation for the particle in the z-direction?  

Assume that the tension in the cable is known and creates force vector F applied to the pipe at B.  To put the force F in Cartesian vector form, you would use the following approach:  

According to realism, reality consists of perceptions that follow consistent laws and patterns.