Incline

A block C of mass $m = 2$ kg is placed on a smooth inclined plane with an angle of inclination $\alpha = 30^\circ$. It is attached to a light spring with an unstretched length of $l_0 = 0.2$ m. The other end of the spring is fixed at the top of the incline. When the system is at rest, the spring stretches to a length of $l_1 = 0.25$ m. The entire system (incline and block) rotates about a vertical axis AB as shown. (Use $g = 9.8$ m/s²)

A block of mass $m_1$ is on a frictionless plane inclined at an angle $\theta$. It is connected by a massless cord over a massless, frictionless pulley to a second, hanging block of mass $m_2$.

A crate of mass $m$ is pushed at a constant speed up a frictionless ramp inclined at an angle $\theta$ to the horizontal. The crate is pushed by a horizontal force $\vec{F}$.

A block of mass $m_1$ on a horizontal frictionless surface is connected by a massless cord over a massless, frictionless pulley to a block of mass $m_2$ on a frictionless plane inclined at an angle $\theta$. A horizontal force $\vec{F}$ is applied to $m_1$.

A block of mass $m_1$ on a frictionless horizontal surface is connected by a massless cord over a frictionless, massless pulley to a second block of mass $m_2$ on a frictionless plane tilted at an angle $\theta$. A force $\vec{F}$ is applied to $m_2$, directed up the incline.

A box of mass $m_1$ rests on a frictionless plane inclined at an angle $\theta_1$. It is connected by a massless cord over a massless, frictionless pulley to a second box of mass $m_2$ on a frictionless plane inclined at an angle $\theta_2$.

A block of mass $m_1$ on a frictionless inclined surface is connected to a hanging block of mass $m_2$ by a cord running over a massless, frictionless pulley. The incline has an angle $\beta$. An upward force of magnitude $F$ acts on mass $m_2$, which has a downward acceleration of magnitude $a$.

Two blocks of mass $m_1$ and $m_2$ are connected by a massless string. They slide down a plane inclined at an angle $\alpha$ to the horizontal. The coefficients of kinetic friction between the blocks and the plane are $\mu_1$ and $\mu_2$ respectively. Block $m_1$ is positioned downslope from block $m_2$.

A sled is held on an inclined plane by a cord pulling up the plane. The sled is on the verge of moving up the plane. The magnitude $F$ of the cord's force is a linear function of the coefficient of static friction $\mu_s$. The data shows that the force is $F_1$ when $\mu_s = 0$, and the force is $F_2$ when $\mu_s = \mu_{s2}$.

A wedge of inclination angle $\theta$ and mass $m$ is placed on a horizontal table. An object, also of mass $m$, is placed on the inclined surface of the wedge. The coefficient of friction between the object and the wedge, and between the wedge and the table, is $\mu$.