7. Friction, Inclines, Systems

A cat of mass $m$ starts from rest at the bottom of a frictionless incline of height $h$. What is the cat's speed $v_2$ when she reaches the top of the incline?

Which factor primarily causes the mechanical advantage of an inclined plane to be less than that of an ideal lever?

You are operating a forklift that contains a full load and are traveling up an incline. You should:

A box and a solid disk, both of equal mass, are released from rest at the top of a frictionless inclined plane of length $L$ and angle $\theta$. The box slides down without rolling, while the disk rolls without slipping. How much sooner does the box reach the bottom of the incline than the disk?

Which of the following correctly represents the normal stress ${\sigma }_n$ and shear stress ${\tau }_n$ acting on an inclined plane ab that makes an angle $\theta$ with the horizontal, given a uniaxial normal stress ${\sigma }_x$ applied along the x-axis?

When driving up a steep incline, you should:

Three identical balls are launched with the same initial speed $v\_0$ up three different frictionless inclines: one straight, one gently curved, and one steeply curved. Rank the balls based on the maximum height $h\_\max$ they reach along their respective inclines, from greatest to least.

Which of the following is a disadvantage of using an inclined plane to lift a heavy object?

A $10\mathrm{kg}$ block slides down a smooth inclined plane that makes an angle $\theta$ with the horizontal. What is the acceleration of the block down the incline?

A block is placed on a smooth inclined plane and a wire is attached from the top of the incline to the block, holding it stationary. If the coefficient of static friction is negligible, at approximately what angle does the wire meet the ground when the incline makes an angle $\theta$ with the horizontal?