A block of mass $m_a$ is connected by a light string over a frictionless pulley to a block of mass $m_b$ resting on a horizontal surface with coefficient of static friction ${\mu }_s$. What is the maximum mass of block $a$ for which the system remains in static equilibrium?

A $3000\mathrm{kg}$ truck is parked on a $7.0°$ slope. What is the magnitude of the friction force acting on the truck?

In a system where three blocks of masses $m_1$, $m_2$, and $m_3$ are connected in a line by light ropes and pulled horizontally with a constant acceleration $a$ on a frictionless surface, what is the magnitude of the tension $T_3$ in the third rope (between $m_2$ and $m_3$)?

In a system where two blocks, $A$ and $B$, are connected by a light, inextensible string over a frictionless pulley, what happens when block $B$ moves downward?

In the context of forces in connected systems of objects, what is the primary significance of using roller connections instead of pinned connections?

Which two external forces most commonly act on darts as they travel toward a dartboard?

Three $50\bullet \mathrm{kg}$ blocks are connected in a row by two ropes on a frictionless horizontal surface and are at rest. What is the tension in rope $2$, which connects the second and third blocks?

In a suspension bridge, the main cable attaches to the left bridge support at a height of $h$ ft above the roadway. If the tension in the cable at this point is $T$ and the mass of the bridge deck is $m$, which of the following expressions correctly gives the vertical component of the force exerted by the cable on the support if the cable makes an angle $\theta$ with the horizontal?