Radius of Curvature
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PHXI04:MOTION IN A PLANE

362057 A car of mass \(m\) moves in a horizontal circular path of radius \(r\) metre. At an instant its speed is \(V\,{\rm{m/s}}\) and is increasing at a rate of a \(m/{\sec ^2}\) Then the acceleration of the car is:

1 \(\frac{{{v^2}}}{r}\)
2 \(a\)
3 \(\sqrt {{a^2} + {{\left( {\frac{{{v^2}}}{r}} \right)}^2}} \)
4 \(\sqrt {a + \frac{{{v^2}}}{r}} \)
PHXI04:MOTION IN A PLANE

362058 The figure shows the velocity and acceleration of a point like body at the initial moment of its motion. The acceleration vector of the body remains constant. The minimum radius of curvature of trajectory of the body is
supporting img

1 \(2\,m\)
2 \(0.5\,m\)
3 \(8\,m\)
4 \(16\,m\)
PHXI04:MOTION IN A PLANE

362059 Consider a particle moving along a parabolic curve \(y = 3{x^2}.\) Find the radius of curvature when it is at the origin.

1 \(6\)
2 \(1/6\)
3 \(1/3\)
4 \(2\)
PHXI04:MOTION IN A PLANE

362060 A particle is projected at an angle \(45^\circ \) with horizontal with velocity \(5\,m/s\) at \(t = 0\). The radius of curvature at the heighest point is.

1 \(2.5\,m\)
2 \(2\,m\)
3 \(0.5\,m\)
4 \(1.25\,m\)
PHXI04:MOTION IN A PLANE

362061 The figure shows the velocity and acceleration of a point at the initial moment of its motion. The acceleration vector of the body remains constant. The minimum radius of curvature of trajectory of the body is
supporting img

1 \(\frac{{3v_0^2}}{{4a}}\)
2 \(\frac{{v_0^2}}{a}\)
3 \(\frac{{v_0^2}}{{2a}}\)
4 \(\frac{{v_0^2}}{{3a}}\)
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PHXI04:MOTION IN A PLANE

362057 A car of mass \(m\) moves in a horizontal circular path of radius \(r\) metre. At an instant its speed is \(V\,{\rm{m/s}}\) and is increasing at a rate of a \(m/{\sec ^2}\) Then the acceleration of the car is:

1 \(\frac{{{v^2}}}{r}\)
2 \(a\)
3 \(\sqrt {{a^2} + {{\left( {\frac{{{v^2}}}{r}} \right)}^2}} \)
4 \(\sqrt {a + \frac{{{v^2}}}{r}} \)
PHXI04:MOTION IN A PLANE

362058 The figure shows the velocity and acceleration of a point like body at the initial moment of its motion. The acceleration vector of the body remains constant. The minimum radius of curvature of trajectory of the body is
supporting img

1 \(2\,m\)
2 \(0.5\,m\)
3 \(8\,m\)
4 \(16\,m\)
PHXI04:MOTION IN A PLANE

362059 Consider a particle moving along a parabolic curve \(y = 3{x^2}.\) Find the radius of curvature when it is at the origin.

1 \(6\)
2 \(1/6\)
3 \(1/3\)
4 \(2\)
PHXI04:MOTION IN A PLANE

362060 A particle is projected at an angle \(45^\circ \) with horizontal with velocity \(5\,m/s\) at \(t = 0\). The radius of curvature at the heighest point is.

1 \(2.5\,m\)
2 \(2\,m\)
3 \(0.5\,m\)
4 \(1.25\,m\)
PHXI04:MOTION IN A PLANE

362061 The figure shows the velocity and acceleration of a point at the initial moment of its motion. The acceleration vector of the body remains constant. The minimum radius of curvature of trajectory of the body is
supporting img

1 \(\frac{{3v_0^2}}{{4a}}\)
2 \(\frac{{v_0^2}}{a}\)
3 \(\frac{{v_0^2}}{{2a}}\)
4 \(\frac{{v_0^2}}{{3a}}\)
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PHXI04:MOTION IN A PLANE

362057 A car of mass \(m\) moves in a horizontal circular path of radius \(r\) metre. At an instant its speed is \(V\,{\rm{m/s}}\) and is increasing at a rate of a \(m/{\sec ^2}\) Then the acceleration of the car is:

1 \(\frac{{{v^2}}}{r}\)
2 \(a\)
3 \(\sqrt {{a^2} + {{\left( {\frac{{{v^2}}}{r}} \right)}^2}} \)
4 \(\sqrt {a + \frac{{{v^2}}}{r}} \)
PHXI04:MOTION IN A PLANE

362058 The figure shows the velocity and acceleration of a point like body at the initial moment of its motion. The acceleration vector of the body remains constant. The minimum radius of curvature of trajectory of the body is
supporting img

1 \(2\,m\)
2 \(0.5\,m\)
3 \(8\,m\)
4 \(16\,m\)
PHXI04:MOTION IN A PLANE

362059 Consider a particle moving along a parabolic curve \(y = 3{x^2}.\) Find the radius of curvature when it is at the origin.

1 \(6\)
2 \(1/6\)
3 \(1/3\)
4 \(2\)
PHXI04:MOTION IN A PLANE

362060 A particle is projected at an angle \(45^\circ \) with horizontal with velocity \(5\,m/s\) at \(t = 0\). The radius of curvature at the heighest point is.

1 \(2.5\,m\)
2 \(2\,m\)
3 \(0.5\,m\)
4 \(1.25\,m\)
PHXI04:MOTION IN A PLANE

362061 The figure shows the velocity and acceleration of a point at the initial moment of its motion. The acceleration vector of the body remains constant. The minimum radius of curvature of trajectory of the body is
supporting img

1 \(\frac{{3v_0^2}}{{4a}}\)
2 \(\frac{{v_0^2}}{a}\)
3 \(\frac{{v_0^2}}{{2a}}\)
4 \(\frac{{v_0^2}}{{3a}}\)
For More Updates join with Us
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PHXI04:MOTION IN A PLANE

362057 A car of mass \(m\) moves in a horizontal circular path of radius \(r\) metre. At an instant its speed is \(V\,{\rm{m/s}}\) and is increasing at a rate of a \(m/{\sec ^2}\) Then the acceleration of the car is:

1 \(\frac{{{v^2}}}{r}\)
2 \(a\)
3 \(\sqrt {{a^2} + {{\left( {\frac{{{v^2}}}{r}} \right)}^2}} \)
4 \(\sqrt {a + \frac{{{v^2}}}{r}} \)
PHXI04:MOTION IN A PLANE

362058 The figure shows the velocity and acceleration of a point like body at the initial moment of its motion. The acceleration vector of the body remains constant. The minimum radius of curvature of trajectory of the body is
supporting img

1 \(2\,m\)
2 \(0.5\,m\)
3 \(8\,m\)
4 \(16\,m\)
PHXI04:MOTION IN A PLANE

362059 Consider a particle moving along a parabolic curve \(y = 3{x^2}.\) Find the radius of curvature when it is at the origin.

1 \(6\)
2 \(1/6\)
3 \(1/3\)
4 \(2\)
PHXI04:MOTION IN A PLANE

362060 A particle is projected at an angle \(45^\circ \) with horizontal with velocity \(5\,m/s\) at \(t = 0\). The radius of curvature at the heighest point is.

1 \(2.5\,m\)
2 \(2\,m\)
3 \(0.5\,m\)
4 \(1.25\,m\)
PHXI04:MOTION IN A PLANE

362061 The figure shows the velocity and acceleration of a point at the initial moment of its motion. The acceleration vector of the body remains constant. The minimum radius of curvature of trajectory of the body is
supporting img

1 \(\frac{{3v_0^2}}{{4a}}\)
2 \(\frac{{v_0^2}}{a}\)
3 \(\frac{{v_0^2}}{{2a}}\)
4 \(\frac{{v_0^2}}{{3a}}\)
NEET DIGITAL LIBRARY
PHXI04:MOTION IN A PLANE

362057 A car of mass \(m\) moves in a horizontal circular path of radius \(r\) metre. At an instant its speed is \(V\,{\rm{m/s}}\) and is increasing at a rate of a \(m/{\sec ^2}\) Then the acceleration of the car is:

1 \(\frac{{{v^2}}}{r}\)
2 \(a\)
3 \(\sqrt {{a^2} + {{\left( {\frac{{{v^2}}}{r}} \right)}^2}} \)
4 \(\sqrt {a + \frac{{{v^2}}}{r}} \)
PHXI04:MOTION IN A PLANE

362058 The figure shows the velocity and acceleration of a point like body at the initial moment of its motion. The acceleration vector of the body remains constant. The minimum radius of curvature of trajectory of the body is
supporting img

1 \(2\,m\)
2 \(0.5\,m\)
3 \(8\,m\)
4 \(16\,m\)
PHXI04:MOTION IN A PLANE

362059 Consider a particle moving along a parabolic curve \(y = 3{x^2}.\) Find the radius of curvature when it is at the origin.

1 \(6\)
2 \(1/6\)
3 \(1/3\)
4 \(2\)
PHXI04:MOTION IN A PLANE

362060 A particle is projected at an angle \(45^\circ \) with horizontal with velocity \(5\,m/s\) at \(t = 0\). The radius of curvature at the heighest point is.

1 \(2.5\,m\)
2 \(2\,m\)
3 \(0.5\,m\)
4 \(1.25\,m\)
PHXI04:MOTION IN A PLANE

362061 The figure shows the velocity and acceleration of a point at the initial moment of its motion. The acceleration vector of the body remains constant. The minimum radius of curvature of trajectory of the body is
supporting img

1 \(\frac{{3v_0^2}}{{4a}}\)
2 \(\frac{{v_0^2}}{a}\)
3 \(\frac{{v_0^2}}{{2a}}\)
4 \(\frac{{v_0^2}}{{3a}}\)