1

IIT-JEE 1986

MCQ (More than One Correct Answer)
A simple pendulum of length L and mass (bob) M is oscillating in a plane about a vertical line between angular limit $$ - \phi $$ and $$ + \phi $$. For an angular displacement $$\theta $$ $$\left( {\left| \theta \right| < \phi } \right)$$, the tension in the string and the velocity of the bob are T and V respectively. The following relations hold good under the above conditions:
A
$$T\cos \theta = Mg$$
B
$$T - Mg\cos \theta = {{M{V^2}} \over L}$$
C
The magnitude of the tangential acceleration of the bob $$\left| {{a_T}} \right| = g\sin \theta $$
D
$$T = Mg\cos \theta $$
2

IIT-JEE 1986

MCQ (More than One Correct Answer)
A reference frame attached to the earth
A
is an inertial frame by definition
B
cannot be an inertial frame because the earth is revolving around the sun
C
is an inertial frame because Newton's laws are applicable in this frame
D
cannot be an inertial frame because the earth rotating about its own axis
3

IIT-JEE 1982

MCQ (More than One Correct Answer)
In the arrangement shown in Fig. the ends P and Q of an unstretchable string move downwards with uniform speed U. Pulleys A and B are fixed.
Mass M moves upwards with a speed
A
$$2U\cos \theta $$
B
$${U \over {\cos \theta }}$$
C
$${{2U} \over {\cos \theta }}$$
D
$$U\cos \theta $$

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