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Figure 8 below shows a mechanism for converting a force F into lifting an object with mass m = 10 kg. By applying a force F perpendicular to a massless handle, a moment of force τ is generated which causes the shaft to rotate. The axle can be considered a massive cylinder with mass M = 20 kg and diameter 1 m. The handle is mounted at a distance d = 0.3 m from the axis of rotation to the shaft. a) How much force Fmin must be applied perpendicular to the handle to keep the block at rest? b) We apply a force F = 2Fmin to the handle. How much acceleration does the block get as a result this? c) After raising the block a distance Δℎ = 0.5 ? with the acceleration i from problem b), where what is the total kinetic energy of the system?

Figure 8 below shows a mechanism for converting a force F into lifting an object with mass m = 10 kg. By applying a force F perpendicular to a massless handle, a moment of force τ is generated which causes the shaft to rotate. The axle can be considered a massive cylinder with mass M = 20 kg and diameter 1 m. The handle is mounted at a distance d = 0.3 m from the axis of rotation to the shaft. a) How much force Fmin must be applied perpendicular to the handle to keep the block at rest? b) We apply a force F = 2Fmin to the handle. How much acceleration does the block get as a result this? c) After raising the block a distance Δℎ = 0.5 ? with the acceleration i from problem b), where what is the total kinetic energy of the system?

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Figure 8 below shows a mechanism for converting a force F into lifting an object with mass m = 10 kg. By applying a force F perpendicular to a massless handle, a moment of force τ is generated which causes the shaft to rotate. The axle can be considered a massive cylinder with mass M = 20 kg and diameter 1 m. The handle is mounted at a distance d = 0.3 m from the axis of rotation to the shaft.

a) How much force Fmin must be applied perpendicular to the handle to keep the block at rest?

b) We apply a force F = 2Fmin to the handle. How much acceleration does the block get as a result this?

c) After raising the block a distance Δℎ = 0.5 ? with the acceleration i from problem b), where what is the total kinetic energy of the system?

D = 1 m C Qui m Figur 7 Id = 0.3 m Oppgavo 9 m
Transcribed Image Text:D = 1 m C Qui m Figur 7 Id = 0.3 m Oppgavo 9 m
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