An object falls vertically with air resistance ignored. List the forces on the object.

A book rests on a horizontal table. List the forces on the book.

A book is pushed right across a rough horizontal table. List the forces on the book and the direction of friction.

A mass hangs motionless from a vertical string. List the forces on the mass.

A block is on a frictionless incline of angle \(\theta\). Resolve its weight into components parallel and perpendicular to the slope.

A crate on a horizontal floor is pulled by a rope at angle \(\theta\) above the horizontal. List the forces and identify which force has two components.

A passenger in a lift accelerates upward. Draw the vertical force model in words and write the force equation with upward positive.

Block A on a table is connected by a light string over a pulley to hanging block B. List the forces on A and on B separately, ignoring friction, and write one Newton's second-law equation for each block using consistent axis directions.

A block slides down a rough incline. Choose axes parallel and perpendicular to the plane, then write the component force equations and derive an expression for acceleration in terms of \(\theta\) and \(\mu_k\).

Block A \((4.0\,\mathrm{kg})\) is on a \(30^\circ\) rough incline and connected over a pulley to hanging block B \((3.0\,\mathrm{kg})\). If \(\mu_k=0.20\) on A and B moves downward, draw force models in words and find the system acceleration and string tension.