Table of Contents

- 1 How do you find the tension in a rope pulling an object up a ramp?
- 2 How do you find the tension?
- 3 How do you find tension in a rope?
- 4 How do you find the acceleration of a box?
- 5 How do you find tension angle?
- 6 What is the force required to push a mass up an incline?
- 7 What are the respective coefficients for static friction for A and B?

## How do you find the tension in a rope pulling an object up a ramp?

We can think of a tension in a given rope as T = (m × g) + (m × a), where “g” is the acceleration due to gravity of any objects the rope is supporting and “a” is any other acceleration on any objects the rope is supporting.

### How do you find the tension?

Tension Formulas – How to Calculate Tension Force

- Tension can be easily explained in the case of bodies hung from chain, cable, string etc.
- T = W ± ma.
- Case (iv) If the body moves up or down with uniform speed, tension; T = W.
- T=m(g±a)
- As tension is a force, its SI unit is newton (N).

#### How do you find tension in a rope?

When a rope supports the weight of an object that is at rest, the tension in the rope is equal to the weight of the object: T = mg.

**How do you find acceleration on a frictionless incline?**

For a frictionless incline of angle degrees, the acceleration is given by the acceleration of gravity times the sine of the angle.

**How do you find the acceleration of an object sliding down a ramp?**

When you know that F = ma, you can solve for the acceleration. After you solve for the force along the ramp, you can get the acceleration (a = F/m) along the ramp.

## How do you find the acceleration of a box?

Summary

- According to Newton’s second law of motion, the acceleration of an object equals the net force acting on it divided by its mass, or a=Fm.
- This equation for acceleration can be used to calculate the acceleration of an object when its mass and the net force acting on it are known.

### How do you find tension angle?

The formula for tension in a rope attached to a weight at an…

- T1 sin(a) + T2 sin(b) = m*g ———-(1) Resolving the forces in x-direction: The forces acting in the x-direction are the components of tension forces T1 and T2 in opposite directions.
- T1cos(a) = T2cos(b)———————(2)
- T2 = [T1cos(a)]/cos(b)]

#### What is the force required to push a mass up an incline?

Mass on Frictionless Incline One of the insights that comes from the setup of this problem is that the force required to push a mass m up a frictionless incline is equal to mgsinθ.

**How much force does it take to move a frictionless surface?**

Checking the limiting cases, you find that it takes no force along a horizontal frictionless surface (θ=0), and a force = mg on a vertical frictionless surface (θ=90°) as you would expect. Calculation Add friction Index Newton’s laws Standard mechanics problems HyperPhysics*****Mechanics R Nave Go Back Mass on Incline With Friction Calculation

**How do you find the mass of a frictionless incline?**

Mass on Frictionless Incline Application of Newton’s second lawto mass on incline. For a frictionless incline of angle degrees, the acceleration is given by the acceleration of gravity times the sine of the angle. Acceleration =m/s2 compared to 9.8 m/s² for freefall.

## What are the respective coefficients for static friction for A and B?

The respective coefficients for static friction for A and B are μA and μB. Choose the last answer that is correct. a. 0.50. b. 1.00. c. a value up to but not quite 1.00. d. greater than 1.00. A box of mass m is placed on an incline with angle of inclination θ. The box does not slide. The magnitude of the frictional force in this case is: