Q.40 Force F鈫�=鈭�10确^N聽is exerted... [FREE SOLUTION]

Chapter 12: Q.40 (page 332)

Force $\overset{鈫�}{F} = 鈭� 10 \hat{确} N$ is exerted on a particle at $\overset{鈫�}{r} = (5 \hat{谋} + 5 \hat{确}) m$ . What is the torque on the particle about the origin?

Short Answer

Expert verified

The particle's torque around the origin is $鈭� (50 N 鈰� m) \hat{k}$ .

Step by step solution

Formula for torque

Another technique to combine two vectors is to use the vector or cross product, which produces a vector that is perpendicular to both of the originals.

Torque is the cross product of the radius vector (from the axis of rotation to the site of force application) and the force vector in vector form.

$T = r 脳 F$

$T$ is torque.

$F$ is force.

Calculation of Torque

The torque on the particle of origin

$r 脳 F = |\begin{array}{ccc} i & j & k \\ 5 m & 5 m & 0 m \\ 0 N & 鈭� 10 N & 0 N \end{array}|$

$= i (0) 鈭� j (0) + k ((5 m) (鈭� 10 N) 鈭� 0 N 鈰� m)$

= 鈭� k (50 N 鈭� m)

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91影视

Force $\overset{鈫�}{F} = 鈭� 10 \hat{确} N$ is exerted on a particle at $\overset{鈫�}{r} = (5 \hat{谋} + 5 \hat{确}) m$ . What is the torque on the particle about the origin?

Short Answer

Step by step solution

Formula for torque

Calculation of Torque

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91影视

Force F鈫�=鈭�10确^Nis exerted on a particle at r鈫�=(5谋^+5确^)m. What is the torque on the particle about the origin?

Short Answer

Step by step solution

Formula for torque

Calculation of Torque

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electrostatics

Wave Optics

Translational Dynamics

Electromagnetism

Electric Charge Field and Potential

Quantum Physics

Study anywhere. Anytime. Across all devices.

Force $\overset{鈫�}{F} = 鈭� 10 \hat{确} N$ is exerted on a particle at $\overset{鈫�}{r} = (5 \hat{谋} + 5 \hat{确}) m$ . What is the torque on the particle about the origin?