Vector analysis homework

PHYS2125 Physics Laboratory I The University of Texas at Dallas

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Pre-lab Lab 3: Vector Analysis of Forces

Name : _______________________

Grade:_____________/30 NetID : _______________________

Section : ______________________

**You are encouraged to have discussions with TA and other students, but you are required to do calculations and answer questions individually and independently.

Question: [30]

(1) Fill in the table below [10].

Vectors Magnitude–direction method Component method

⃗⃗ 1 @ ̂ ̂

⃗⃗ ______@______ ̂ ̂

⃗⃗ ______@______ ̂ ̂

⃗⃗ ______@______ ̂ ̂

⃗⃗ ______@______ ̂ ̂

⃗⃗ ______@______ ̂ ̂

PHYS2125 Physics Laboratory I The University of Texas at Dallas

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𝑥

𝑦

(2) Draw the forces ⃗⃗⃗⃗ , ⃗⃗ , ⃗⃗ , and ⃗⃗ on the

right figure [4].

(3)

i. Draw free-body diagram for mass with 4 vectors , , , and . (Pay attention to the given x-direction.) [4]

If there is no friction, the mass will (A) move up, (B) move down, or (C) stay at rest on

the inclined plane.

Answer:_______________ (A or B or C)[1]

ii. Draw the free-body diagram for mass with the same 4 vectors. [4]

If there is no friction, the mass will (A) move up, (B) move down, or (C) stay at rest on

the inclined plane.

Answer:_______________ (A or B or C)[1]

Draw here:

𝒙

𝑀 𝒚

Draw here:

𝒙

𝑀 𝒚

PHYS2125 Physics Laboratory I The University of Texas at Dallas

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iii. Please show that

(A)

[3]

(b)

[3]