Three masses 5kg, 5kg, and 12kg are located at the corners of an equilateral triangle whose side are 4 m long. Find the center of mass from the 12kg mass.
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Systems of particles 8-29
Vector Additional Problems 1-33
A vector A of magnitude ten units and another vector B of magnitude six units point in direction differing by 60°. Fine (a) the scalar product of the two vectors and (b) the vector product of two vectors.
Vector Additional Problems 1-32
Show that A * (B x C) is equal in magnitude to the volume of the parallelepiped formed on the three vectors A, B, and C.
Vector Additional Problems 1-31
A person flies from Washington to Manila.
(a) Describe the displacement vector.
(b) What is its magnitude if the latitude and longtitude of the two cities are 39° N, 77° W, and 15° N, 121° E ?
Vector Additional Problems 1-30
Two vector of length A and B make an angle of 
with each other when placed tail to tail. Prove, by taking components along two perpendicular axes, that the length of thair sum is 
Vector Additional Problems 1-29
A room has dimensions 10m x 12m x 14m. A fly starting at one corner ends up at a diametrically opposite corner.
(a) What is the magnitude of its displacement?
(b) Could the length of its path be less than this distance? Greater than thistance? Equal to this distance?
(c) Choose a suitable coordinate system and find the components of the displacement vector in this frame.
(d) If the fly walks rather flies, what is the length of the shortest path it can take?
Vector Additional Problems 1-28
Two vectors A and B are added. Show that magnitude of the resultant cannot be greater than A+B or smaller than |A-B|, where the vertical bars signify absolute.
