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Prior to being placed in its hole, a $5700-\mathrm{N}, 9.0$ -m-long, uniform utility pole makes some nonzero angle with the vertical. A vertical cable attached 2.0 $\mathrm{m}$ below its upper end holdsit in place while its lower end rests on the ground. (a) Find the tension in the cable and the magnitude and direction of the force exerted by the ground on the pole. (b) Why don't we need to know the angle the pole makes with the vertical, as long as it is not zero?

a) 3700 $\mathrm{N}$2000 $\mathrm{N}$b) From equation $(1)$ it is clear that all moments are proportional to $\cos \theta$ and gets cancelled while equating to zero. Thus we need not to know the angle made with the vertical.

Physics 101 Mechanics

Chapter 10

Dynamics of Rotational Motion

Newton's Laws of Motion

Rotation of Rigid Bodies

Equilibrium and Elasticity

University of Michigan - Ann Arbor

University of Washington

Hope College

University of Winnipeg

Lectures

02:34

In physics, a rigid body i…

02:21

In physics, rotational dyn…

01:41

Prior to being placed in i…

04:53

Cable $A C$ is $70 \mathrm…

03:28

A weight $W$ is supported …

03:48

04:08

Cable $A B$ is $65 \mathrm…

08:17

The pole in Figure 5.22 is…

03:15

The horizontal beam in $\t…

04:02

A 500.-N uniform rectangul…

03:55

The horizontal beam in Fig…

06:48

A $40-m$ cable is strung a…

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A uniform metal rod, with …

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In Fig. $12-46,$ a 50.0 kg…

01:27

Cable $A C$ exerts on beam…

05:09

An object of mass $m=2.5 \…

05:37

A uniform cable weighing 3…

05:26

0:00

A telephone pole has three…

04:19

$\bullet$ The horizontal b…

04:41

Knowing that the tension i…

06:23

A uniform, horizontal flag…

Hello, Problem. Number 59 talks about a utility pole that's being lowered into a hole. The utility pole is 5700. News. It is a nine meter long utility pull that uniform in length, so its center mass is 4.5 from the ground. Here it is being lowered in at a non zero angle here. We don't know that angle, but we do now that it also mix and angle of data right there. It's also held by a tension. Why're the top? It's located two meters down. The poll also making that same date, an angle right there. We are trying to find the tension in the table in the magnitude and direction of the force that the ground exerts a call this that normal force with the ground. This point is pushing up on a boat. So we use a Newton's law in equilibrium is we know our wife forces or any hologram, and we know our talks are in equilibrium as well. They're looking over. Here are some of the forces in the wind direction. We know that our normal force and our attention are holding up the 5700 Newton. Wait I have the utility pole now for torques. We're pivoting here on the ground. Um, are normal horse provides no tort because it's lever arm is zero. So are too forces that provide torque our attention and that would be located seven meters from our pivot point, but the particular distance of what we're looking for for our level warm. And that's actually then sign of data. And that would be equal to our 5700. That's located 4.5 the same sign of data or perpendicular level on. But you should note, is it that both of them have factor of sine theta and can be cancelled out weakened in Seoul for attention. Contention is 36 64 nipples coming in over here. We got a normal force. No, 2036 minutes. Okay, um, a mission. It asks, Why don't we need to know that ankle as long as it's not zero? Well, the reason we don't need to know that angles because what we did right here, we canceled it out on both sides. Both of them played a role in the two torques and more canceled out. So we don't need to know that angle to solve this

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