If the force \(7\hat i+3\hat j-5\hat k\) acts on a particle whose position vector is \(\hat i - \hat j+\hat k\), the torque of the force about the origin is?
1. \(2\hat i +12\hat j+10\hat k\)
2. zero
3. \(2\hat i -12\hat j-10\hat k\)
4. \(2\hat i +12\hat j-10\hat k\)

Subtopic:  Torque |
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Moment of a couple:

1. depends on the point about which you take the moments
2. depends on the reference frame
3. does not depend on the point about which you take the moments
4. does not depend on the direction of the forces

Subtopic:  Torque |
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A metal bar 70 cm long and 4.00 kg in mass supported on two knife edges placed 10 cm from each end. A 6.00 kg load is suspended at 30 cm from one end as shown in the figure. The reactions R1 and R2 at the knife-edges are: (Assume the bar to be of uniform cross-section and homogeneous.)

1. 43.12 N and 54.88 N
2. 54.88 N and 4.312 N
3. 54.88 N and 43.12 N
4. 43.12 N and 5.488 N
Subtopic:  Torque |
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A \(3~\text{m}\) long ladder weighing \(20~\text{kg}\) leans on a frictionless wall. Its feet rest on the floor \(1~\text{m}\) from the wall as shown in the figure. The reaction forces of the wall and the floor respectively are:

             

1. \(30.4~\text{N}\) and \(198~\text{N}\)
2. \(199~\text{N}\) and \(30~\text{N}\)
3. \(34.6~\text{N}\) and \(199~\text{N}\)
4. \(34.6~\text{N}\) and \(199~\text{N}\)

Subtopic:  Torque |
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