Compute the total force which shall be acting on the springs, Mechanical Engineering

Compute the total force which shall be acting on the springs:

An automobile of mass 1300 kg, travelling at a speed of 60 kmph hits a depression in the road that has a radius of curvature of 15 m. Compute the total force which shall be acting on the springs.

Solution

The speed of the car is 60 kmph, i.e.

(60 × 1000)/3600

 = 16.67 m / sec

The car is travelling along with a curve of radius 15 m. Hence, acceleration

an   = v2 / r  .

∴ an = (16.67)2/ 15

 = 18.52 m / sec

 The inertia force Fi = - m an shall be acting as illustrated.

∴ Fi  = - m . an = 1300 × 18.52

= 24076 N

Considering equilibrium of forces as illustrated in Figure (b), we obtain following

∑ Fy  = 0  ∴ N = Fi  + mg

= 24076 + 12753 = 36829 N ;

 where mg = 1300 × 9.81

Posted Date: 1/29/2013 2:22:35 AM | Location : United States







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