Question

The 1360-kg car and the 2100-kg tow truck are stationary. The muddy surface on which the car s tires rest exerts negligible friction forces on them. What is the tension in the tow cable

Answer 1

5.91 kN

Step-by-step explanation:

The schematic view of the free body diagram of the car is shown in the image attached below.

Let's first calculate the weight of the car.

W = mg

W = 1360 × 9.81

W = 13341.6 N

W = 13.3416 kN

From the image, Using the equilibrium equations, we have:

`\sum F_x = 0\\`

T cos (18° - 10°) - 13.3416 sin 26° = 0

T cos 8° - 5.84857 = 0

T cos 8° = 5.84857

`T = (5.84857)/(cos \ 8^0)`

`T = (5.84857)/(0.9903)`

T = 5.905856811 N

T ≅ 5.91 kN