Motion along Inclined Planes Practice Problems Online

In the figure above, the inclined plane makes a $30^\circ$ angle with the horizontal. The masses of crates $A$ and $B$ are $m_A=80\text{ kg}$ and $m_B=x\text{ kg},$ respectively. The coefficient of kinetic friction at the surface of the inclined plane is $\mu=\frac{\sqrt{3}}{10},$ and the pulley is frictionless. If crate $A$ is sliding up the ramp at a constant speed, what is the value of $x?$

A block slides down an inclined plane that makes a $45^\circ$ angle with the floor. If the coefficient of kinetic friction is $\mu=\frac{1}{19},$ what is the acceleration of the block?

The gravitational acceleration is $g=10\text{ m/s}^2.$

\displaystyle{ \frac{90}{19}\text{ m/s}^2}

\displaystyle{ \frac{90}{19}\sqrt{2}\text{ m/s}^2}

\displaystyle{ \frac{45}{19}\sqrt{2}\text{ m/s}^2}

\displaystyle{ \frac{45}{19}\text{ m/s}^2}

A coin slides down a ramp angled at $30^\circ$ with respect to the horizontal. If the coin starts from rest, what is its speed in m/s after sliding $1~\mbox{m}$ ?

Details and assumptions

The ramp is frictionless.
The acceleration of gravity is $-9.8~\mbox{m/s}^2$ .

In the figure above, the inclined plane makes an angle $\theta$ (in radians) with the horizontal. The masses of crates $A$ and $B$ are $m_A=17\text{ kg}$ and $m_B=6\text{ kg},$ respectively. If the ramp is perfectly frictionless, and crate $A$ slides down the ramp at a constant speed, what is the value of $\sin\theta?$

A block slides down a frictionless, inclined plane that makes a $30^\circ$ angle with the floor. If the block is initially at rest, and the length of the inclined plane is $d=15\text{ m},$ how many seconds does it take for the block to reach the end of the plane?

The gravitational acceleration is $g=10\text{ m/s}^2.$

Concept Quizzes

Challenge Quizzes

Motion along Inclined Planes

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.