Figure 1 shows the instantaneous position of a linkage mecha

Figure 1 shows the instantaneous position of a linkage mechanism (not to scale). OA rotates in the anti-clockwise direction with an angular velocity of 100 rad/s and an angular acceleration of 200 rad/s^2. (a) Accurately draw the mechanism at the instant shown and measure the location of C relative to O. (b) Graphically construct and label the velocity diagram of the mechanism. (c) Determine the angular velocity of the triangular bar APB, showing your working. (d) Determine the linear velocity and direction of the point P, showing your working.

Solution

The loaded four wheel trailer shown in Figure P8.10 has a total mass of 5t and is pulled along a level road. Average resistance to motion (friction and windage) is 2 per cent of the total weight and acts at the same horizontal level as the applied force P. Determine the normal reaction at each of the front and rear wheels when the trailer moves:

a) at constant velocity

b) with forward acceleration 1.5m/s².

(Average resistance to motion is 2% of total weight is not required.)