Mechanics tutorial_1.doc
1
1.
A surveying instrument for measuring distance and angle is located at C, point A is at an
elevation of 9.2
above the horizontal plane (xy plane). The instrument has to rotate about
the vertical axis through 41
from the x direction in order to align with A. The distance from
C to A is 5005m. Corresponding values for point B are 1.3
, 73.4
and 7037m. Determine
(a) the locations of points A and B in Cartesian coordinates relative to C,
(b) the distance from A to B,
(c) the distance from A to B projected onto the horizontal plane.
ans:
(a)
(3729, 3241, 800.2)m,(2010, 6742, 159.7)m
(b)
3952m
(c)
3900m
2.
Point C and D are located at (1,2,4)m and (2,1,1)m respectively. Determine the length of
CD and the angle COD, where O is the original of the coordinates.
ans:
4.36m, 69.12
3.
A vector is given by (2i+3j+1k)m. What is the component of this vector (a) in the ydirection
and (b) in the direction parallel to the line from A to B, where A is at point (1,1,0)m and B is
at (3,4,5)m?
ans:
3m, 2.92m
4.
What are the angles between the line joining the origin O and a point at (2,5,6)m and the
positive x, y and z axes?
ans:
75.6
, 128.3
, 41.9
5.
A point on a mechanism has a speed of 5m/s and a tangential acceleration of magnitude
2m/s
2
. If the magnitude of the total acceleration is 3.0m/s
2
, what is the radius of curvature of
the path traced by the point at this instant.
ans:
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '09
 GXXY
 Cartesian Coordinate System, Angular velocity, Velocity, Polar coordinate system

Click to edit the document details