14. Torque & Rotational Dynamics

Torque & Acceleration (Rotational Dynamics)

14. Torque & Rotational Dynamics

# Torque & Acceleration (Rotational Dynamics) - Video Tutorials & Practice Problems

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### Torque & Acceleration (Rotational Dynamics)

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2

Problem

ProblemSuppose that piano has a long, thin bar ran through it (totally random), shown below as the vertical red line, so that it is free to rotate about a vertical axis through the bar. You push the piano with a horizontal 100 N (blue arrow), causing it to spin about its vertical axis with 0.3 rad/s^{2} . Your force acts at a distance of 1.1 m from the bar, and is perpendicular to a line connecting it to the bar (green dotted line). What is the piano's moment of inertia about its vertical axis?

A

250 kg•m

^{2}B

285 kg•m

^{2}C

303 kg•m

^{2}D

367 kg•m

^{2}3

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### Torque & Acceleration of a Point Mass

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PRACTICE PROBLEMS AND ACTIVITIES (29)

- A cord is wrapped around the rim of a solid uniform wheel 0.250 m in radius and of mass 9.20 kg. A steady hori...
- A 12.0-kg box resting on a horizontal, frictionless surface is attached to a 5.00-kg weight by a thin, light w...
- CP A 15.0-kg bucket of water is suspended by a very light rope wrapped around a solid uniform cylinder 0.300 m...
- CP A 2.00-kg textbook rests on a frictionless, horizontal surface. A cord attached to the book passes over a p...
- A machine part has the shape of a solid uniform sphere of mass 225 g and diameter 3.00 cm. It is spinning abou...
- A playground merry-go-round has radius 2.40 m and moment of inertia 2100 kg•m^2 about a vertical axle through ...
- CP A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, similar ...
- The flywheel of an engine has moment of inertia 1.60 kg/m^2 about its rotation axis. What constant torque is r...
- (II) A softball player swings a bat, accelerating it from rest to 2.4 rev/s in a time of 0.20 s. Approximate ...
- A large spool of rope rolls on the ground with the end of the rope lying on the top edge of the spool. A perso...
- A 12-cm-diameter, 600 g cylinder, initially at rest, rotates on an axle along its axis. A steady 0.50 N force ...
- Your engineering team has been assigned the task of measuring the properties of a new jet-engine turbine. You'...
- A 30-cm-diameter, 1.2 kg solid turntable rotates on a 1.2-cm-diameter, 450 g shaft at a constant 33 rpm. When ...
- A hollow cylinder (hoop) is rolling on a horizontal surface at speed v = 3.0 m/s when it reaches an 18° inclin...
- A 1.6-kg grindstone in the shape of a uniform cylinder of radius 0.20 m acquires a rotational rate of 22 rev/s...
- Suppose David puts a 0.60-kg rock into a sling of length 1.5 m and begins whirling the rock in a nearly horizo...
- (II) The forearm in Fig. 10–57 accelerates a 3.6-kg ball at 7.0 m/s² by means of the triceps muscle, as shown....
- (II) The forearm in Fig. 10–57 accelerates a 3.6-kg ball at 7.0 m/s² by means of the triceps muscle, as shown....
- (II) A solid rubber ball rests on the floor of a railroad car when the car begins moving with acceleration a. ...
- (II) A rotating uniform cylindrical platform of mass 220 kg and radius 5.5 m slows down from 3.8 rev/s to rest...
- Water drives a waterwheel (or turbine) of radius R = 3.0 m as shown in Fig. 11–50. The water enters at a speed...
- If a billiard ball is hit in just the right way by a cue stick, the ball will roll without slipping immediatel...
- "A boy rolls a tire along a straight level street. The tire has mass 8.0 kg, radius 0.32 m and moment of inert...
- (II) Assume that a 1.00-kg ball is thrown solely by the action of the forearm, which rotates about the elbow j...
- A particle of mass m uniformly accelerates as it moves counterclockwise along the circumference of a circle of...
- (II) To get a flat, uniform cylindrical satellite spinning at the correct rate, engineers fire four tangential...
- (II) A solid rubber ball rests on the floor of a railroad car when the car begins moving with acceleration a. ...
- (II) Calculate the moment of inertia of the array of point objects shown in Fig. 10–58 about the y axis, and t...
- (II) A dad pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to...