Home
Class 11
PHYSICS
A diving board 3.00 m long is supported ...

A diving board `3.00 m` long is supported at a point `1.00 m` from the end and a diver weighing `500 N` stands at the free end. The diving board is of uniform cross section and weighs `280 N`. Find.
The force at the end that is held down.

A

`780N`

B

`220N`

C

`1920N`

D

`1140N`

Text Solution

Verified by Experts

The correct Answer is:
D
Take torques about the left end of the board inward

The force `F` at the support point is found from
`F(1.00m)=+(280N)(1.50m)+(500N)(3.00m)`
`implies F=1920N`
The net force must be zero so the force at the left end is
`(1920N)-(500N)-(280N)=1140N,` downward
Promotional Banner

Topper's Solved these Questions

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS|Exercise Integer|11 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS|Exercise Multiple Correct|9 Videos

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|2 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Interger|2 Videos

Similar Questions

Explore conceptually related problems

A diving board 3.00 m long is supported at a point 1.00 m from the end and a diver weighing 500 N stands at the free end. The diving board is of uniform cross section and weighs 280 N . Find. The force at the support point

A metal bar 70 cm long and 4.00 kg in mass is supported on two knife edges placed 10 cm from each end. A 6.00 kg weight is suspended at 30 cm from one end. Find the reactions at the knife edges. Assume the bar to be of uniform cross-section and homogeneous.

A large hemi sphere of radius 100m is fixed on the ground. A man weighing 700 N stands a at height of 50m above the ground. N and f represent the normal and frictional force acting on him. Then :

A mass m is at a distance a from one end of a uniform rod of length l and mass M. Find the gravitational force on the mass due to tke rod.

One end of a rope is fixed at a point on the ceiling the other end is held close to the first end so that the rope is folded. The second end is released from this position. Find the speed at which the fold at F is descending at the instant the free end of the rope is going down at speed V.

A uniform rod is 4m long and weights 10kg . If it is supported on a kinetic edge at one meter from the end, what weight placed at that end keeps the rod horizontal.

A 2.00 m-long rope, having a mass of 80 g, is fixed at one end and is tied to a light string at the other end. The tension in the string is 256 N. (a) Find the frequencies of the fundamental and the first two overtones. (b) Find the wavelength in the fundamental and the first two overtones.

A potential difference 50 V is applied between the ends of conductor of length 100 m and resistance 0.5 Omega . The conductor has a uniform cross-section. Find the total linear momentum of free electrons.

A car weighing 500 kg moving against a resistance of 500 N, accelerates from rest to 20 m//s in 100m (g = 10m//s^2). The work done by the engine of the car is :

A wooden rod weighing 25N is mounted on a hinge below the free surface of water as shown. The rod is 3m long and uniform in cross section and the support is 1.6m below the free surface. At what angle alpha rod is in equilibrium? The cross-section of the rod is 9.5 xx10^(-4)m^(2) in area. Density of water is 1000kg//m^(3) . Assume buoyancy to act at centre of immersion. g=9.8m//s^(2) . Also find reaction on the hinge in this position. .

CENGAGE PHYSICS-RIGID BODY DYNAMICS 1-Linked Comprehension
  1. An L shaped uniform rod of mass 2M and length 2L (AB = BC = L) is held...

    Text Solution

    |

  2. A uniform rod of length L and mass M is lying on a frictionless horizo...

    Text Solution

    |

  3. A uniform rod of length L and mass M is lying on a frictionless horizo...

    Text Solution

    |

  4. A uniform rod of length L and mass M is lying on a frictionless horizo...

    Text Solution

    |

  5. A bicycle has pedal rods of length 16 cm connected to sprocketed disc ...

    Text Solution

    |

  6. A bicycle has pedal rods of length 16 cm connected to sprocketed disc ...

    Text Solution

    |

  7. A bicycle has pedal rods of length 16 cm connected to sprocketed disc ...

    Text Solution

    |

  8. A bicycle has pedal rods of length 16 cm connected to sprocketed disc ...

    Text Solution

    |

  9. A bicycle has pedal rods of length 16 cm connected to sprocketed disc ...

    Text Solution

    |

  10. A cord is wound round the circumference of a solid cylinder radius R a...

    Text Solution

    |

  11. A cord is wound round the circumference of a solid cylinder radius R a...

    Text Solution

    |

  12. A diving board 3.00 m long is supported at a point 1.00 m from the end...

    Text Solution

    |

  13. A diving board 3.00 m long is supported at a point 1.00 m from the end...

    Text Solution

    |

  14. The horizontal beam in figure weighs 150 N, and its centre of gravity ...

    Text Solution

    |

  15. The horizontal beam in figure weighs 150 N, and its centre of gravity ...

    Text Solution

    |

  16. A uniform ladder 5.0 m long rests against a frictionless, vertical wal...

    Text Solution

    |

  17. A uniform ladder 5.0 m long rests against a frictionless, vertical wal...

    Text Solution

    |

  18. A uniform ladder 5.0 m long rests against a frictionless, vertical wal...

    Text Solution

    |

  19. A disc having radius R is rolling without slipping on a horizontal (x-...

    Text Solution

    |

  20. A disc having radius R is rolling without slipping on a horizontal (x-...

    Text Solution

    |