A solid cylindrical pulley with a mass of 1.60 kg and a radius of 0.290 m is free to rotate about its axis. An object of mass 0.270 kg is attached to the pulley with a light string (the figure below). Assume the string does not stretch or slip.
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- A solid cylinder of radius 10.0 cm rolls down an incline with slipping. The angle of the incline is 30 . The coefficient of kinetic friction on the surface is 0.400. What is the angular acceleration of the solid cylinder? What is the linear acceleration?What is the torque abot the origin of the force if it is applied at the point whose position is:Check Your Understanding The fan blades on a jet engine have a moment of inertia 30.0kgm2 . In 10s, they rotate counterclockwise from rest up to a rotation rate of 20 rev/s. (a) What torque must be applied to the blades to achieve this angular acceleration? (b) What is the torque required to bring the fan blades rotating at 20 rev/s to a rest in 20s?
- Suppose you exert a force of 167 N tangential to a 0.255 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N m) is exerted? (Enter the magnitude.) 42.585 N.m (b) What is the angular acceleration (in rad/s²) assuming negligible opposing friction? (Enter the magnitude.) 2.44 X rad/s² (c) What is the angular acceleration (in rad/s²) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) rad/s²Suppose you exert a force of 172 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N · m) is exerted? (Enter the magnitude.) 50.74 N. m (b) What is the angular acceleration (in rad/s?) assuming negligible opposing friction? (Enter the magnitude.) 15.55 rad/s? (c) What is the angular acceleration (in rad/s?) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) 15.44 ]× rad/s²Suppose you exert a force of 192 N tangential to a 0.255 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N· m) is exerted? (Enter the magnitude.) N. m (b) What is the angular acceleration (in rad/s?) assuming negligible opposing friction? (Enter the magnitude.) rad/s2 (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 20.6N exerted 3.00 cm from the axis? (Enter the magnitude.) rad/s2
- Suppose you exert a force of 227 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N · m) is exerted? (Enter the magnitude.) N.m (b) What is the angular acceleration (in rad/s?) assuming negligible opposing friction? (Enter the magnitude.) rad/s2 (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 22.6 N exerted 2.50 cm from the axis? (Enter the magnitude.) rad/s2Suppose you exert a force of 172 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N · m) is exerted? (Enter the magnitude.) N. m (b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.) |rad/s? (c) What is the angular acceleration (in rad/s?) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) |rad/s?Suppose you exert a force of 207 N tangential to a 0.275 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N· m) is exerted? (Enter the magnitude.) N. m (b) What is the angular acceleration (in rad/s²) assuming negligible opposing friction? (Enter the magnitude.) |rad/s2 (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 24.6 N exerted 1.25 cm from the axis? (Enter the magnitude.) rad/s2 Additional Materials O Reading
- F Pivot d The length of the pool cue is 1.5 m. A force of 11 N is applied at an angle 55°, a distance 0.7 meters from the pivot. What is the torque created? Answer to 3 sig figs.Suppose you exert a force of 212 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N· m) is exerted? (Enter the magnitude.) N: m (b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.) rad/s2 (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 24.6 N exerted 2.00 cm from the axis? (Enter the magnitude.) rad/s2Suppose you exert a force of 192 N tangential to a 0.235 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N · m) is exerted? (Enter the magnitude.) N · m (b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.) rad/s2 (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 20.6 N exerted 2.50 cm from the axis? (Enter the magnitude.) rad/s2