Moments and Centre of Gravity Solved Problems

Equilibrium is the state of balance of a body..

Subjects > Physics > Moments and Centre of Gravity

Which problem do you want to solve ?

  1. A metre rule is pivoted at its mid-point. A `0.60` `N` weight is suspended from one end. How far from the other end must a `1.00` `N` weight be suspended for the rule to balance ?
  2. A metre rule is pivoted at its mid-point and a `50` `g` mass is suspended from the `20` `cm` mark. What mass balances the rule when suspended from the `65` `cm` mark ?
  3. A lever of negligible weight is `2.0` `m` long. If a `0.80` `N` weight at one end balances a `0.20` `N` weight at the other end, how far is the fulcrum from the `0.80` `N` weight?
  4. A metre rule is pivoted at its mid-point. A `1.0` `N` weight is suspended from the `30` `cm` mark and a `2.0` `N` weight from the `90` `cm` mark. Where must an upward force of `3.0` `N` be applied to balance the rule?
  5. A uniform lever `150` `cm` long is pivoted at its mid-point. A `50` `g` mass is suspended from the left-hand end and an `80` `g` mass from the right-hand end. A string tied `50` `cm` to the right of the fulcrum passess upwards over a pulley so that the string is at `30^0` to the lever. What mass must be suspended from the string for the lever to balance?
  6. With examples, explain the three states of Equilibrium.
  7. A uniform bridge `AB`, `30` `m` long and weighing `200 000` `N`, rests on supports at each end. Find the forces on the supports when a car of weight `10 000` `N` is `4` `m` from `A` and a lorry of weight `100 000` `N` is `10` `m` from `B`.
  8. A metal tube of length `30` `cm` and weight `0.45` `N` is fitted with a wooden handle `10` `cm` long and weight `0.30` `N`. How far is the centre of gravity from the middle of the handle?
  9. A tapered rod of mass `200` `g` is `160` `cm` long. It balances at its mid-point when a `150` `g` mass hangs from the narrow end. How far is the centre of gravity from the thick end?

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Which problem do you want to solve ?

  1. A metre rule is pivoted at its mid-point. A `0.60` `N` weight is suspended from one end. How far from the other end must a `1.00` `N` weight be suspended for the rule to balance ?
  2. A metre rule is pivoted at its mid-point and a `50` `g` mass is suspended from the `20` `cm` mark. What mass balances the rule when suspended from the `65` `cm` mark ?
  3. A lever of negligible weight is `2.0` `m` long. If a `0.80` `N` weight at one end balances a `0.20` `N` weight at the other end, how far is the fulcrum from the `0.80` `N` weight?
  4. A metre rule is pivoted at its mid-point. A `1.0` `N` weight is suspended from the `30` `cm` mark and a `2.0` `N` weight from the `90` `cm` mark. Where must an upward force of `3.0` `N` be applied to balance the rule?
  5. A uniform lever `150` `cm` long is pivoted at its mid-point. A `50` `g` mass is suspended from the left-hand end and an `80` `g` mass from the right-hand end. A string tied `50` `cm` to the right of the fulcrum passess upwards over a pulley so that the string is at `30^0` to the lever. What mass must be suspended from the string for the lever to balance?
  6. With examples, explain the three states of Equilibrium.
  7. A uniform bridge `AB`, `30` `m` long and weighing `200 000` `N`, rests on supports at each end. Find the forces on the supports when a car of weight `10 000` `N` is `4` `m` from `A` and a lorry of weight `100 000` `N` is `10` `m` from `B`.
  8. A metal tube of length `30` `cm` and weight `0.45` `N` is fitted with a wooden handle `10` `cm` long and weight `0.30` `N`. How far is the centre of gravity from the middle of the handle?
  9. A tapered rod of mass `200` `g` is `160` `cm` long. It balances at its mid-point when a `150` `g` mass hangs from the narrow end. How far is the centre of gravity from the thick end?

Recommended Lessons