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A (В (D Students are doing an experiment near an empty pool. A student of mass 40 kg is standing on one end of a board as the board hangs over the pool as shown. The board is of uniform density, has a length I, and is positioned such that the pivot point is L/3 from the end of the board. The board is just about to tip over into the pool. How far from the pivot point must a 60 kg student stand so that the board is just about to tip over? E 2L/9 2L/3 L/3 L/2 -L/3- 3L/2 Board L Pool <

A (В (D Students are doing an experiment near an empty pool. A student of mass 40 kg is standing on one end of a board as the board hangs over the pool as shown. The board is of uniform density, has a length I, and is positioned such that the pivot point is L/3 from the end of the board. The board is just about to tip over into the pool. How far from the pivot point must a 60 kg student stand so that the board is just about to tip over? E 2L/9 2L/3 L/3 L/2 -L/3- 3L/2 Board L Pool <

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A (В (С (D Students are doing an experiment near an empty pool. A student of mass 40 kg is standing on one end of a board as the board hangs over the pool as shown. The board is of uniform density, has a length L, and is positioned such that the pivot point is L/3 from the end of the board. The board is just about to tip over into the pool. How far from the pivot point must a 60 kg student stand so that the board is just about to tip over? E 2L/9 2L/3 L/3 L/2 ← 3L/2 -L/3- Board L Pool <
Transcribed Image Text:A (В (С (D Students are doing an experiment near an empty pool. A student of mass 40 kg is standing on one end of a board as the board hangs over the pool as shown. The board is of uniform density, has a length L, and is positioned such that the pivot point is L/3 from the end of the board. The board is just about to tip over into the pool. How far from the pivot point must a 60 kg student stand so that the board is just about to tip over? E 2L/9 2L/3 L/3 L/2 ← 3L/2 -L/3- Board L Pool <
(A) The diagram shows an object of mass m attached to a bar of length L by a short cable. The left end of the bar is held up by a hinge, attached to the wall. The bar is maintained in its horizontal orientation by a longer cable, attached from the end of the rod to the wall. The long cable makes an angle with the bar and has tension Fr. The mass of the bar is not negligible. The cables are assumed to have uniform linear density, the hinge is assumed to be frictionless and to have negligible radius, and the mass of the bar is assumed to be uniformly distributed along the length of the bar. Students calculate the theoretical tension in the long cable and then measure the actual tension in the cable. The measured tension is more than the theoretical tension. If the measurement is correct, which of the following could account for the discrepancy? B C D E The radius of the hinge is not negligible. The linear density of the short cable increases vertically. The linear density of the bar decreases with distance from the wall. The rotational inertia of the bar about the hinge is less than ML². I The rotational inertia of the bar about the hinge is greater than ML². m
Transcribed Image Text:(A) The diagram shows an object of mass m attached to a bar of length L by a short cable. The left end of the bar is held up by a hinge, attached to the wall. The bar is maintained in its horizontal orientation by a longer cable, attached from the end of the rod to the wall. The long cable makes an angle with the bar and has tension Fr. The mass of the bar is not negligible. The cables are assumed to have uniform linear density, the hinge is assumed to be frictionless and to have negligible radius, and the mass of the bar is assumed to be uniformly distributed along the length of the bar. Students calculate the theoretical tension in the long cable and then measure the actual tension in the cable. The measured tension is more than the theoretical tension. If the measurement is correct, which of the following could account for the discrepancy? B C D E The radius of the hinge is not negligible. The linear density of the short cable increases vertically. The linear density of the bar decreases with distance from the wall. The rotational inertia of the bar about the hinge is less than ML². I The rotational inertia of the bar about the hinge is greater than ML². m
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