Vectors and Equilibrium
A train of 150 m length is going toward north direction at a speed of 10 $ms^{-1}$ and a parrot is flying towards south direction parallel to the railway track with a speed of 5 $ms^{-1}$. The time taken by the parrot to cross the train is equal to
A) 12 s
B) 8 s
C) 15 s
D) 10 s
The speed of projectile at its highest point if it is projected with initial velocity $v_i$ and at an angle of 45° with the horizontal.
A) $v_i/2\sqrt{2}$
B) $v_i/\sqrt{4}$
C) $v_i/\sqrt{2}$
D) $v_i/\sqrt{3}$
The weight of objects in a rocket when its engine is operating
A) Is constant
B) Is decreasing
C) Is Increasing
D) Is zero
The ratio of height and range of projectile when projected at angle θ is
A) $4/tan\theta$
B) $tan\theta/4$
C) 4 $tan\theta$
D) $tan\theta+4$
When line of action of applied force passes through the pivot then torque will be
A) Maximum
B) Constant
C) Negative
D) Zero
A uniform plank of weight 100 N is 2000 mm long and rests on a support that is 400 mm from end E. At what distance from E must a 160 N weight be placed in order to balance the plank?
A) 150 mm
B) 125 mm
C) 25 mm
D) None of these
A 450 N child is sitting on a seesaw 0.5 meter from the balance point, as shown below. How far, on the other side, should a 500 N child sit so that the seesaw will remain in balance?
A) Less than 50 cm
B) Less than 45 cm
C) Greater than 45 cm
D) Greater than 50 cm
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