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