# tutorial_1 - Mechanics tutorial_1 1 A surveying instrument...

This preview shows pages 1–2. Sign up to view the full content.

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 (x-y 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 co-ordinates 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 co-ordinates. 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 y-direction 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.

{[ snackBarMessage ]}

### Page1 / 4

tutorial_1 - Mechanics tutorial_1 1 A surveying instrument...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online