1. Velocity and Acceleration of Simple Pendulum. L=1m, TO = 0, 0 = 0, e' = 10deg/s, 0" = 2deg/s*s. Tf = 1sec, 0 = 45 deg, 0' = 5deg/s, 0" = 1 deg/s*s Y y G m B X FIGURE 10.2. A simple pendulum. X a. Find the position at TO and Tf b.Find the angular velocity at TO and Tf c. Find the angular acceleration at TO and Tf

The period of oscillation of a mass-spring system: 1. Depends on the amplitude. 2.Depends on the ratio of amplitude and the mass. 3. Depends on the mass.

A 5.50 meter spring is pulled with a force of 58N and stretches by 0.25m, to a total length of 5.75m. When released, it vibrates at 13 rad/s. What is the spring constant of the spring?Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown.

3. The physical pendulum. (a) In class, we derived the formula for the frequency of the physical pendulum W3 Mgl I (1) Show that the expression for the frequency of the simple pendulum is consistent with this. Then derive (1) using the energy method, where the total energy is the sum of the rotational kinetic energy 1/1 (do/dt) 2 and the potential energy of the centre of mass mghem. To obtain the result you will need to use the small angle expression for cosine: cos 01-02/2, for 0 < 1. (b) A thin square plate of side L and mass M is hanging from a pivot that is drilled into one of its corners. The pivot passes perpendicularly through the plate. The plate is then lightly tapped and starts to undergo small oscillations. Using the energy method, determine the period of the oscillation, making the small angle approximation. The moment of inertia for an axis running through the centre of a square plate is ICM ML²/6. =