A uniform thin rod of length is hinged about one of its ends and is free to rotate about the hinge without friction. Neglect the effect of gravity. A force is applied at a distance from hinge on the rod such that the force is always perpendicular to the rod. As value of is increased from zero to , the component of reaction by the hinge on the rod perpendicular to the length of rod increases

Statement2:

Under the conditions given in Statement 1 as is increased from zero to , the angular acceleration of the rod increases

a)

Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1

b)

Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1

A uniform thin rod of length is hinged about one of its ends and is free to rotate about the hinge without friction. Neglect the effect of gravity. A force is applied at a distance from hinge on the rod such that the force is always perpendicular to the rod. As value of is increased from zero to , the component of reaction by the hinge on the rod perpendicular to the length of rod increases

Statement2:

Under the conditions given in Statement 1 as is increased from zero to , the angular acceleration of the rod increases

a)

Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1

b)

Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1

c)

Statement 1 is True, Statement 2 is False

d)

Statement 1 is False, Statement 2 is True

1 Answer

127 votes

Answer Key / Explanation : (d) -

(d)

As increases, the required component of reaction decreases to zero and then increases (with direction reversed). Hence, statement I is false