Tractive force exerted by a lorry

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The discussion focuses on calculating the tractive force exerted by a lorry with a mass of 12,500 kg, accelerating at 0.1 m/s² up a hill with a gradient of 1:6. The resistance to motion is specified as 2,000 N. Participants emphasize the importance of using a free body diagram to identify all forces, including gravitational components and motion resistance, to derive the total tractive force. The calculation involves decomposing the weight vector into trigonometric components to account for the incline.

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  • Basic principles of forces acting on inclined planes
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  • Explore the effects of incline on gravitational force components
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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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