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|Centre |: Centre for Foundation Studies (CFS) |Unit Code |: FHSC1014 |

|Course |: Foundation in Science |Unit Title |: Mechanics |

|Year/ Trimester |: Year 1 / Trimester 1 |Lecturer | |

|Session |: 201605 | | |

Additional Tutorial 2: Vector and translational kinematics.

1. Find the x and y-components of: (a) a displacement of 200 km, at 30.0o. (b) a velocity of 40.0 km/h, at 120o; and (c) a force of 50.0 N at 330o. [(a) 173 km, 100 km, (b) -20.0 km/h, +34.6 km/h, (c) 43.3 N, -25.0 N]

2. Three forces are applied to an object, as indicated in the drawing. Force [pic] has a magnitude of 21.0 Newton (21.0 N) and is directed 30.0° to the left of the + y axis. Force [pic] has a magnitude of 15.0 N and points along the + x axis. What must be the magnitude and direction (specified by the angle ( in the drawing) of the third force [pic] such that the vector sum of the three forces is 0 N? [18.7 N, 76o]

3. A 200 N block rests on a 30o inclined plane as shown in figure below. If the weight of the block acts vertically downward, what are the components of the weight down the plane and perpendicular to the plane? Choose x-axis along plane and y-axis perpendicular. [100 N, 173 N]

4. The drawing shows a triple jump on a checkerboard, starting at the center of square A and ending on the center of square B. Each side of a square measures 4.0 cm. What is the magnitude of the displacement of the colored checker during the…...

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