Two particles A and B are moving in a uniform circular motion in concentric circles of radii \(r_A\) and \(r_B\) with speeds \(v_A\) and \(v_B\) respectively. Their time periods of rotation are the same. The ratio of the angular speed of \(A\) to that of \(B\) will be:
1. | \( 1: 1 \) | 2. | \(r_A: r_B \) |
3. | \(v_A: v_B \) | 4. | \(r_B: r_A\) |
A particle is projected with a speed u at an angle to the horizontal. Radius of curvature at highest point of its trajectory is?
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4.
Figure below shows a body of mass M moving with a uniform speed v on a circular path of radius, R. What is the change in acceleration in going from P1 to P2?
1. zero
2.
3.
4.
Three balls are thrown from the top of a building with equal speeds at different angles. When the balls strike the ground, their speeds are respectively, then:
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4.
A particle moves along a parabolic path y = 9x2 in such a way that the x component of the velocity remains constant and has a value of . It can be deduced that the acceleration of the particle will be:
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2.
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4.
Two particles A and B, move with constant velocities \(\vec{v_1}\) and \(\vec{v_2}\) . At the initial moment their position vector are \(\vec{r_1}\) and \(\vec{r_2}\) respectively. The condition for particles A and B for their collision to happen will be:
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4.
A particle starting from the point \((1,2)\) moves in a straight line in the XY-plane. Its coordinates at a later time are \((2,3).\) The path of the particle makes with x-axis an angle of:
1. | \(30^\circ\) | 2. | \(45^\circ\) |
3. | \(60^\circ\) | 4. | data is insufficient |
A car turns at a constant speed on a circular track of radius \(100\) m, taking \(62.8\) s for every circular lap. The average velocity and average speed for each circular lap, respectively, is:
1. | \(0,~0\) | 2. | \(0,~10\) m/s |
3. | \(10\) m/s, \(10\) m/s | 4. | \(10\) m/s, \(0\) |
For a projectile projected at angles (45°-θ) and (45°+θ), the horizontal ranges described by the projectile are in the ratio of:
1. 1:1
2. 2:3
3. 1:2
4. 2:1
A particle starting from the origin \((0,0)\) moves in a straight line in the \((x,y)\) plane. Its coordinates at a later time are (, \(3)\). The path of the particle makes an angle of __________ with the x-axis:
1. \(30^\circ\)
2. \(45^\circ\)
3. \(60^\circ\)
4. \(0\)