Home
Class 11
PHYSICS
A flat rigid body is moving in x – y pla...

A flat rigid body is moving in `x – y` plane on a table. The plane of the body lies in the `x – y` plane. At an instant it was found that some of the velocity components of its three particles A, B and C were `V_(Ax) = 4 m//s, V_(Bx) = 3 m//s` and `V_(cy) = - 2 m//s`, respectively. At the instant the three particles A, B and C were located at (0,0) (3,4) , (4,3) (all in meter ) respectively in a co-ordinate system attached to the table.
(a) Find the velocity of A, B and C
(b) Find the angular velocity of the body.

Text Solution

Verified by Experts

The correct Answer is:
(a) `vec(V) = 4i - 3j ; vec(V)_(B) = 3i - (9)/(4) j; vec(V)_(C) = (13)/(4)I - 2 j` all in unit of m/s
(b) `omega = (1)/(4)` rad/s
Promotional Banner

Topper's Solved these Questions

  • NEWTONS LAWS OF MOTION

    ARIHANT|Exercise All Questions|111 Videos
  • SIMPLE HARMONIC MOTION

    ARIHANT|Exercise Level 3|9 Videos

Similar Questions

Explore conceptually related problems

If the velocities of three gas molecules are sqrt(7) , 4 and 5 m/s, then there V_(rms) ( in m/s) will be

The velocity and acceleration vectors of a particle undergoing circular motion are v = 2 hat(i) m//s and a = 2 hat(i)+4 hat(j)m//s^(2) respectively at some instant of time. The radius of the circle is

The coordinates of a body moving in a plane at any instant of time t are x=alphat^(2) and y=betat^(2) . The speed of the body is.

Two particles A and B are moving in the x-y plane such that their velocity components are v_(x) = 1 m//s, v_(y) = (1)/(sqrt(3)) m//s (for A ) and v_(x) = 2m//s, v_(y) = 2 m//s (for B ). If both the particles start moving from the same point, what is the angle between their paths ?

A particle is moving in the x-y plane. At certain instant of time, the components of its velocity and acceleration are as follows: v_(x)=3ms^(-1), v_(y)=4ms^(-1), a_(x)=2ms^(-2) and a_(y)=1ms^(-2) . The rate of change of speed at this moment is

Two billiard ball, rolling a flat table, have started moving from the same point. If their x components of velocities are sqrt3m//s and 2m//s and y components of velocities are 1m//s and 2m//s , respectively, calculate the angle between their paths .

x and y co-ordinates of a particle moving in x-y plane at some instant of time are x=2t and y=4t .Here x and y are in metre and t in second. Then The path of the particle is a…….

The coordinates of a particle moving in XY-plane at any instant of time t are x=4t^(2),y=3t^(2) . The speed of the particle at that instant is

The velocity in m/s of a particle is proportional to the cube of the time. If the velocity after 2 s is 4m/s, then v is equal to

A body is moving with constant acceleration, a= 5 m/s^2 from A to B in straight line AB. The velocity of particle at A and B are 5 m/s and 15 m/s respectively. The velocity at mid-point of AB is

ARIHANT-ROTATIONAL MOTION-PHYSICS
  1. A uniform rod of mass m and length L is fixed to an axis, making an an...

    Text Solution

    |

  2. A mass m in attached to a mass less string and swings in a horizontal ...

    Text Solution

    |

  3. A flat rigid body is moving in x – y plane on a table. The plane of th...

    Text Solution

    |

  4. A wheel is rolling without sliding on a horizontal surface. Prove that...

    Text Solution

    |

  5. There is a fixed half cylinder of radius R on a horizontal table. A un...

    Text Solution

    |

  6. A disc of radius R is rolling without sliding on a horizontal surface ...

    Text Solution

    |

  7. A uniform disc of radius R = 2 sqrt3 m is moving on a horizontal surfa...

    Text Solution

    |

  8. A convex surface has a uniform radius of curvature equal to 5R. A whee...

    Text Solution

    |

  9. AB is a non uniform plank of length L = 4R with its centre of mass at...

    Text Solution

    |

  10. A wheel of radius R is rolling without sliding uniformly on a horizont...

    Text Solution

    |

  11. A wall is inclined to a horizontal surface at an angle of 120^(@) as s...

    Text Solution

    |

  12. In the figure the plank resting on two cylinders is horizontal. The pl...

    Text Solution

    |

  13. A wire of linear mass density lambda (kg//m) is bent into an arc of a...

    Text Solution

    |

  14. A metallic plate has been fabricated by welding two semicircular discs...

    Text Solution

    |

  15. There is a square plate of side length a. It is divided into nine iden...

    Text Solution

    |

  16. ABC is an isosceles triangle right angled at A. Mass of the triangular...

    Text Solution

    |

  17. The triangular plate described in the last question has angle lt A = t...

    Text Solution

    |

  18. A thin uniform spherical shell of radius R is bored such that the axis...

    Text Solution

    |

  19. Consider an equilateral prism as shown in the figure. The mass of the ...

    Text Solution

    |

  20. In the arrangement shown in figure the cylinder of mass M is at rest o...

    Text Solution

    |