High School

We appreciate your visit to A 20 0 kg horizontal plank 4 00 m long rests on two supports one at the left end and the second 1 00 m. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A 20.0 kg horizontal plank 4.00 m long rests on two supports, one at the left end and the second 1.00 m from the right end. What is the magnitude of the force exerted on the plank by the support near the right end?

A. 32.0 N
B. 45.2 N
C. 112 N
D. 131 N
E. 98.2 N

Answer :

Final answer:

To determine the force exerted by the right support on a 20.0 kg horizontal plank resting on two supports, the static equilibrium principle is used, and the resulting force is found to be approximately 131 N, corresponding to option (d).

Explanation:

The problem involves a 20.0 kg horizontal plank which is 4.00 m long and rests on two supports with one at each end. To find the magnitude of the force exerted by the right support (1.00 m from the right end), we use the concept of static equilibrium where the sum of moments around any point is zero.

Let FL and FR be the forces by the left and right supports respectively. The plank's weight, W = mg = 20.0 kg × 9.81 m/s2 = 196 N, acts downward at the center of the plank (2.00 m from either end).


Taking the moment about the left support:


  • FR × 3.00 m (distance from left support to right support) = W × 2.00 m (distance from left support to center of gravity)

  • FR = (196 N × 2.00 m) / 3.00 m

  • FR = 130.67 N

Thus, the magnitude of the force exerted by the support near the right end is approximately 131 N (when rounded to three significant figures), which corresponds to option (d).

Learn more about Static Equilibrium here:

https://brainly.com/question/29316883

#SPJ11

Thanks for taking the time to read A 20 0 kg horizontal plank 4 00 m long rests on two supports one at the left end and the second 1 00 m. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada