AP Physics 1: Algebra-Based 5.6 Newtons Second Law in Rotational Form Questions

Relate changes in angular velocity to net torque and rotational inertia using Newton’s second law in rotational form for a rigid system.

Syllabus
Effective Fall 2024
Course
AP Physics 1: Algebra-Based

Exam points

  • apply τnet = Iα with angular kinematics to solve torque, acceleration and speed changes
  • relate net-torque direction to angular acceleration, slowing, reversal and angular-velocity graphs
  • compare rotational responses when force geometry or rotational inertia changes
  • couple translational and rotational equations for rolling objects and massive pulleys
  • infer rotational inertia or frictional torque from measured changes in angular motion

Question 1

[Maximum number: 2]

(12 points, suggested time 25 minutes)
The left end of a uniform beam of mass M and length L is attached to a wall by a hinge, as shown in Figure 1. One end of a string with negligible mass is attached to the right end of the beam. The other end of the string is attached to the wall above the hinge at Point 1. The beam remains horizontal. The hinge exerts a force on the beam of magnitude FHF_{\mathrm{H}}, and the angle between the beam and the string is θ=θ1\theta=\theta_{1}.

The string is cut, and the beam begins to rotate about the hinge with negligible friction. On the following axes, sketch the angular speed of the beam as a function of time for the time interval while the beam falls but before the beam becomes vertical.

Figure for Question 1 — AP Physics 1: Algebra-Based
Figure for Question 1 — AP Physics 1: Algebra-Based
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