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A wrench 30 $\mathrm{cm}$ long lies along the positive $y$ -axis and grips a bolt at the origin. A force is applied in the direction $\langle 0,3,-4\rangle$ at the end of the wrench. Find the magnitude of the force needed to supply 100 $\mathrm{N} \cdot \mathrm{m}$ of torque to the bolt.

$|\mathbf{F}|=\frac{1250}{3} \approx 417$

Calculus 3

Chapter 10

VECTORS AND THE GEOMETRY OF SPACE

Section 4

The Cross Product

Vectors

Vector Functions

Johns Hopkins University

Missouri State University

Harvey Mudd College

University of Nottingham

Lectures

02:56

In mathematics, a vector (…

06:36

0:00

A wrench 30 cm long lies a…

01:06

If you apply a force of ma…

00:57

Suppose you apply a force …

01:07

02:50

Tightening a bolt Suppose …

01:29

01:31

Torque $=$ lever arm $\tim…

The cylindrical head bolts…

00:59

06:06

You slip a wrench over a b…

so this you wouldn't bother us. F And this is given as, uh, more on this scientist. Therefore, we are zero three and minus four. This is given as 0 30 0 The 03 minus four. This is even as 19. And we have 19.24 off 30 Squire, you don't know of nine plus 16 Gostigian. So it is 91 13 5 Boss There. Four days. She starts this two times. So it is. We're gonna find past teacher and a sign TJ will hold upon. No, we have to find you. Don't? Yeah. Four talk is even as one up demand have do a science teacher authorities. Andre, you 10 meter is even in the question. What is your 100.30 and Dumanis defaulted on five. So these over 100 of this answer this father always 5000 or to have So this is even more. Our is given us 417 This is that, sir. Don't give in

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