# Experiments with Rotary Motion Sensor and Vernier Data Logger

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Description

Exp-1 Rotational dynamics.
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