In this unit we will cover: The moment of force (torque) - Cross product
The moment of force (torque)
Torque is defined as the cross product of the lever arm distance vector and the force vector, which tends to produce rotation.
A X B = C
B X A = D
t = r x F
t = r x F = | r | | F | sin (theta)
A X B
A X B = - B X A
A 20 inch wrench is at an angle of 30 degrees with the ground. A force of 40 N that makes and angle of 45 degrees with the wrench turns the wrench. Find the torque.
r = 20 cos 30 i + 20 sin 30 j = 17.3 i + 10 j
F = -40 cos 75 i - 40 sin 75 j = -10.3 i - 38.6 j
r x F =
= - 564 k
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By : Muhd Syafiq Farhan b. Che Hamzah @ Mohd Nor Muhammad Afieq Azwa b. Azman Mohd Hafsham b. Wahaf Amirul Muhaimin b. Ishak Farahanim Nabila bt Arbain Nur Samantha bt Aman Noor Anisah bt. Abu Yazit Haritarshini a/p G Selvaraj