# Experiments with Rotary Motion Sensor and Vernier Data Logger

Description

Exp-2 Conservation of Angular momentum.

Exp-3 Pendulum periods.

Exp-4 Physical pendulum.

ROTATIONAL DYNAMICS

Objectives:

- Collect angular acceleration data for objects subjected to a torque.
- Determine an expression for the torque applied to a rotating system.
- Determine the relationship between torque and angular acceleration.
- Relate the slope of a linearized graph to system parameters.
- Make and test predictions of the effect of changes in system parameters on the constant of proportionality.

CONSERVATION OF ANGULAR MOMENTUM

Objectives:

- Collect angle vs. time and angular velocity vs. time data for rotating systems.
- Analyze the θ-t and ω-t graphs both before and after changes in the moment of inertia.
- Determine the effect of changes in the moment of inertia on the angular momentum of the system.

PENDULUM PERIODS

Objectives:

- Collect angle vs. time data for a simple pendulum.
- Determine the best-fit equation for the angle vs. time graph.
- From an analysis of the forces acting on the pendulum bob, derive the equation describing the motion of the pendulum.
- Relate the parameters in the best-fit equation for the angle vs. time graph to their physical counterparts in the system.
- Determine the period of oscillation from an analysis of the angle vs. time graph.
- Account for the deviation from constant periods when the amplitude becomes large.

PHYSICAL PENDULUM

Objectives:

- Collect angle vs. time data for a variety of physical pendulums.
- Determine the period of oscillation from an analysis of the angle vs. time graph.
- From an analysis of the torques acting on the system, derive the equation describing the motion of the physical pendulum.
- Compare this equation to the one that describes the motion of a simple pendulum.
- Relate the angular frequency, ω, of the system to its physical features.
- Compare the agreement between experimental and calculated values of ω determined by this treatment of the system with those obtained by treating the system as if it were a simple pendulum.

Contents:

Cat. No. | Item Name | Exp-1 | Exp-2 | Exp-3 | Exp-4 |

MD-BTD | Motion Detector | 1 | 1 | 1 | 1 |

LABQ2 | Data-Collection Interface | 1 | 1 | 1 | 1 |

LP | Logger Pro 3 software | 1 | 1 | 1 | 1 |

RMV-BTD | Rotary Motion Sensor | 1 | 1 | 1 | 1 |

AK-RMV | Rotary Motion Sensor Accessory Kit | 1 | 1 | 1 | 1 |

Ring Stand or Vertical Support Rod | 1 | 1 | 1 | ||

Mass algin Hanger | 1 | 2 | |||

Metric Ruler or Tape | 1 | 1 | |||

Right-angle Clamp | 1 | ||||

Protractor | 1 | 1 | 1 | 1 | |

Balance | 1 | 1 |