Four 4-Newton forces (A–D) act on a 3-m by 4-m piece of plywood as shown. i. Ran

Question

Four 4-Newton forces (A–D) act on a 3-m by 4-m piece of plywood as
shown.
i. Rank the magnitudes of the torques due to the four forces about point P. Explain how your determined your ranking.
ii. Point P is fixed in place. If the plywood is initially at rest when the forces are applied, will it rotate clockwise about point P, counterclockwise about point P, or will the plywood not rotate about point P? Explain how you determined your answer.

Four 4-Newton forces (A-D) act on a 3-m by 4-m piece of plywood as shown. i. Rank the magnitudes of the torques due to the four forces about point P. Explain how your determined your ranking. ii. Point P is fixed in place. If the plywood is initially at rest when the forces are applied, will it rotate clockwise about point P, counterclockwise about point P, or will the plywood not rotate about point P? Explain how you determined your answer.

Explanation / Answer

side length of one block is 1m.

For A:
Forcce Vector A is parallel is parallel to displacement vector PA.

SO we say angle between force A and PA is 0 degrees/

and torqe = r x F = rFsin@ = rFsin0 = 0

Force B:
torqueB = rFsin@ = sqrt(3^1 + 1^2) x 4 = 12.65 Nm

counterclock wise

Force C:
peprpendicular distance of force C from point P is 2m

so torque = 2 x 4 = 8 Nm

counterclock wise
B > C > A

Ii) Net Torque = 12.65+8 = 20.65 Nm counterclock wise

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.