Chapter 4, Problem 10P

To determine

The tension that a rope must withstand if it is used to accelerate a car vertically upward.

Answer to Problem 10P

Solution:

Tension on a car is 12.60kN.

Explanation of Solution

The tension in a rope can be withstood if it is used to accelerate a car vertically upward i.e. the car is accelerated and vertical tension is the force exerted vertically on the car. The expression for the vertical upward force or tension is given below:

$T-mg=ma$…… (1)

Here, $m$ is the mass of the car, $g$ is the acceleration due to gravity and $a$ is its acceleration.

Given:

Mass of a car $m=1200\text{ kg}$

Acceleration of a car $a=0.{\text{70 m/s}}^2$

Formula used:

$T-mg=ma$

Calculation:

Substitute, $m=1200\text{ kg}$ and $a=0.{\text{70 m/s}}^2$ in equation (1)so the tension is given as follows:

$T-mg=ma$

$\begin{array}{c}T=1200\text{ kg}\left(\text{9}\text{.8+0}{\text{.70 m/s}}^2\right)\\ =12.60\text{ kN}\end{array}$