Simple Harmonic Oscillation

A uniform meter stick of length L swings as a physical pendulum about a pivot point at one of its ends. The distance from the pivot to the stick's center of mass is h.

Block 1 of mass $m_1$ slides on a frictionless elevated surface at speed $v_{1i}$. It undergoes a one-dimensional elastic collision with a stationary block 2. After the collision, block 2, which is attached to a spring of constant $k$, oscillates in SHM with period $T$. Block 1 slides off the surface, which is at a height $h$ above the ground.

A block is on a horizontal surface that is moving back and forth with simple harmonic motion (SHM) of frequency $f$. The coefficient of static friction between the block and the surface is $\mu_s$.

Two springs are joined and connected to a block of mass $m$ that is set oscillating over a frictionless floor. The springs each have a spring constant $k$.

A block of mass $m$ (and weight $W=mg$) can slide without friction on an incline at an angle $\theta$. It is connected to the top of the incline by a massless spring of unstretched length $L_0$ and spring constant $k$.

Two blocks, with masses $m$ and $M$, are arranged on a horizontal frictionless surface as shown. The larger block $M$ is attached to a horizontal spring with spring constant $k$. The smaller block $m$ rests on top of $M$. The coefficient of static friction between the two blocks is $\mu_s$. The system undergoes simple harmonic motion (SHM).

A 95 kg solid sphere with a 15 cm radius is suspended by a vertical wire. A torque of 0.20 N·m is required to rotate the sphere through an angle of 0.85 rad and then maintain that orientation.

The balance wheel of an old-fashioned watch oscillates with angular amplitude $\pi$ rad and period 0.500 s.

A rectangular block, with face lengths $a = 35$ cm and $b = 45$ cm, is suspended on a thin horizontal rod running through a narrow hole in the block. The block swings about the rod like a physical pendulum. The hole is at a distance $r$ from the block's center, along a line connecting the center with a corner.