Tractive force exerted by a lorry

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To determine the tractive force exerted by the lorry, first analyze the forces acting on it, including its weight, resistance to motion, and the incline's effect. The lorry's mass of 12,500 kg and acceleration of 0.1 m/s² can be used to calculate the net force required for motion. The gravitational force component acting parallel to the incline must be calculated using the hill's gradient of 1:6. The total tractive force is the sum of the gravitational force component and the force needed to overcome the resistance to motion. Understanding vector decomposition is essential for accurately calculating these forces.
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Hey would really appreciate help with this question, thanks :)

A lorry, of mass 12500kg, starts from rest up a hill. The hill has a gradient of 1:6 and the lorry accelerates at a constant rate of 0.1m/s2. If the resistance to motion, not the gravitational resistance, of the lorry is 2000N, what is the tractive force of the lorry?

thanx again
 
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This thread should go to the homework section.

Start with a freebody diagram, can you tell all the forces involved ?

How can you relate the given mass and the given resultant acceleration ?

How can you relate self weight, slope effect on weight vector components, motion resistance and the resultant net acceleration ?
 
The total tractive force will be the component of the lorry's weight pointing parallel to the incline and the acceleration force. Do you remember how to decompose a vector force into trigonometric components?
 
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