Question

Automobile which is being towed at constant velocity up the incline using the cable at c. The automobile has a mass of 5 mg and center of mass at g. The tire are free to roll

Answer 1

The value of the normal reaction force will be 4.65 kN and 31.76 kN.

What is force?

Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size, and direction of the body. Force is defined as the product of mass and acceleration. Its unit is Newton.

The normal force on the car is,Na= Nb =1 kN

The force of the cable on the car is,F=1 kN

The force of the gravity is,W=mg

The balancing equation of force;

$\rm N_A+N_B+F sin \theta_2 -mg cos \theta_2 =0 \\\\ \rm -Fcos \theta_2 +mg sin \theta_1 =0 \\\\ Fcos \theta_2 \times a -F sin \theta_2 \times b -mg cos \theta_1 \times c -mg sin \theta_1 \times e +N_B (c+d)=0 \\\\ N_A+N_B+F sin 30^0 - 5 \times 9.81 cos 30^0 =0 \\\\ -$

Putting the value further;

$\rm N_A+N_B+F sin 30^0 - 5 \times 9.81 cos 30^0 =0 \\\\ -F cos 30^0 + 9.81 sin 20^0 =0 \\\\ F cos 30^ 0 (0.6)-F sin30^0 (1.5)-(5 \times 10^6) \times 9.81 \times cos 20^0 (1)-(5)(9.81)sin 20^0 +N_B \times 1.75 =0$

Solving the equation, we get;

$\rm F_A = 19.37 \ kN \\\\ N_A=4.65 \ kN \\\\ N_B=31.76 \ kN$

Hence, the value of the normal force swill be 4.65 kN and 31.76 kN.

To learn more about the force, refer to the link;

brainly.com/question/26115859

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