Mechanics
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 ycomponents of: (a) a displacement of 200 …show more content…
1. (a) Dx = 200 cos 30.0o = 173 km Dy = 200 sin 30.0o = 100 km (b) vx = 40.0 cos 120o = 20.0 km/h vy = 40.0 sin 120o = +34.6 km/h (c) Fx = 50.0 cos 330o = 43.3 N; Fy = 50.0 sin 330o = 25.0 N
2. [pic]
 Vector xcomponent ycomponent 
F1 (21.0) sin30.0o = 10.5 N +(21.0) cos30.0o = +18.2 N 
F2 +15.0 N 0 N 
F3 (10.5+15.0) = 4.5 N (18.2+0) = 18.2 N 
[pic] [pic]
3. Wx = 200 sin 300; Wx = 100 N, down the plane. Wy = 200 cos 300; Wy = 173 N, normal to the plane.
4. The triple jump consists of a double jump in one direction, followed by a perpendicular single jump, which we can represent with displacement vectors J and K and D = J + K. J = 4d and K = 2d where [pic]. [pic] [pic]
5. (a) [pic] (b) When the faster car has a 15.0 min lead, it is ahead by a distance equal to that traveled by the slower car in a time of 15.0 min. [pic] The faster car pulls ahead of the slower car at a rate of

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