Question

A 350-N, uniform, 1.50-m bar is suspended horizontally by two vertical cables at each end. Cable A can support a maximum tension of 500.0 N without breaking, and cable B can support up to 400.0 N. You want to place a small weight on this bar. Part A What is the heaviest weight you can put on the bar without breaking either cable

Answer 1

Answer:

The heaviest weight that can be put on the bar without breaking either cable is 550 N.

Explanation:

Given

Maximum tension in wire A , $W_A=500\, N$

Maximum tension in wire B , $W_B=400\, N$

Weight of bar , $W_{bar}=350\, N$

Length of wire , L=$L=1.50\, m$

Part A

Let the heaviest weight put on the bar without breaking either cable be W

Using Newton's Second law

$W+W_{bar}=W_A+W_B$

=>$W+350\, N=(500+400)\, N=>W=550\, N$

=>W = 550 N

Thus  the heaviest weight that can be put on the bar without breaking either cable is 550 N

Answer 2

The heaviest weight you can put on the bar without breaking either cable is 550 N

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Further explanation

Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

$\large {\boxed {F = ma }$

F = Force ( Newton )

m = Object's Mass ( kg )

a = Acceleration ( m )

Let us now tackle the problem !

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Given:

weight of the bar = w_b = 350 N

length of the bar = L_b = 1.50 m

maximum tension of cable A = T_A = 500.0 N

maximum tension of cable B = T_B = 400.0 N

Asked:

weight of a small object = w = ?

Solution:

We will use Newton's Law of Motion to solve this problem as follows:

$\Sigma F = 0$

$T_A + T_B - w - w_b = 0$

$500.0 + 400.0 - w - 350 = 0$

$900.0 - w - 350 = 0$

$w = 900.0 - 350$

$w = 550 \texttt{ Newton}$

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Learn more

• Impacts of Gravity : https://brainly.com/question/5330244
• Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454
• The Acceleration Due To Gravity : https://brainly.com/question/4189441
• Newton's Law of Motion: https://brainly.com/question/10431582
• Example of Newton's Law: https://brainly.com/question/498822

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Answer details

Grade: High School

Subject: Physics

Chapter: Dynamics