in fig. 12-35, horizontal scaf- fold 2, with uniform mass m2 30.0 kg and length l2 2.00 m, hangs from horizontal scaffold 1, with uni- form mass m1 50.0 kg. a 20.0 kg box of nails lies on scaffold 2, centered at distance d 0.500 m from the left end. what is the tension t in the cable indicated?



Answer :

The cable being shown has a 457 N tension.

Mass of scaffold 1, m1 = 50Kg

Mass of lower scaffold 2, m2 = 30kg

Length, = 2m

Mass of nail box, = 20 kg

d = 0.500 m

Length of scaffold 1, = 3m

Tension on right, = 196N

Tension on left, = 196N

Torque at left point Tr × L2 - mgd - m2g×L/2  = 0

Tr = 196N

Fy = 0

Tl + TR -mg -m2g = 0

Tl = 294N

T × L1 - Tl × d - m1g× L1/2 - Tr(L1 - d) = 0

T = 457N

The cable being shown has a 457 N tension.

A rope, string, or cable that is stretched under an applied force develops a force known as a tension force in physics. Along the entire length of the rope or cable, tension is applied in the opposite direction of t. According to the International System of Units, tension is expressed in newtons and can take the form of a transmitted force, an action-reaction pair of forces, or a restoring force (or pounds-force in Imperial units). This mechanical quantity is typical. In the direction of the thread at the point of attachment, the ends of a string or other object conveying tension will apply forces to the objects to which the string or rod is linked. "Passive forces" are another name for these tension-related forces.

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