If: A=Horizontal distance betwen ends (at same height) B=Depth of catenary C=radius of curvature at lowest point L=length along catenary M=Mass per unit length Tm=Tension at ends of catenary To=Tension at lowest point. (Also horizontal component of tension at any point) Then: C=To/M, and B=C(cosh(A/2C)-1)
Calculate the magnitude of the tension in a string by drawing a free body diagram, and then using the formula T = mg + ma.You can calculate the magnitude of the tension in a string by first drawing a Free body diagram, and then using the formula T = mg + ma.
The tension in the string would be equal to the component of the gravitational force pulling the block down the incline. This component is given by T = mgsin(theta), where m is the mass of the block, g is the acceleration due to gravity, and theta is the angle of the incline. Since the block is held motionless, this force balances out the component of gravity pulling the block down the incline.
The magnitude of tension in a cord is the force exerted by the cord to maintain equilibrium in a system. It is equal in magnitude but opposite in direction at each end of the cord, keeping the system balanced. The tension is influenced by the weight of the objects the cord is supporting and any external forces acting on the system.
The magnitude of the tension in the string at the bottom of the circle is equal to the sum of the gravitational force acting on the ball and the centripetal force required to keep the ball moving in a circular path.
A horizontal dropout chain tensioner is used to adjust the tension of the chain on a bicycle or similar vehicle with horizontal dropouts. It helps keep the chain at the correct tension for smooth and efficient pedaling, preventing it from slipping or coming off the gears.
To maintain a horizontal circular motion while the string makes an angle θ with the vertical, the bob must have a tangential speed ( v ) that can be determined using the relationship between gravitational force and the tension in the string. The vertical component of the tension must balance the weight of the bob, while the horizontal component provides the centripetal force required for circular motion. The formula for the tangential speed ( v ) can be expressed as ( v = \sqrt{g \cdot \tan(\theta) \cdot L} ), where ( g ) is the acceleration due to gravity and ( L ) is the length of the string.
tension is a vector!(At first I thought it was a scalar too but this afternoon it was in our physics quiz,I answered scalar but I got it wrong because tension is a vector).this is the explanation:tension is the force producing such deformation.anything with force is a vector.Force always has direction.
Putting weight on the forward pedals puts tension on the chain, which rotates the rear wheel and pushes the bike forward.
More tension causes more recoil and therefore springs the vehicle forward faster.
A small sphere of charge q = +68 uC and mass m = 5.8 g is attached to a light string and placed in a uniform electric field E that makes an angle O = 37 degrees with the horizontal. The opposite end of the string is attached to a wall and the sphere is in static equilibrium when the string is horizontal.(a) Find the magnitude of the electric field.(b) Find the tension in the string.
Pushing on the cranks puts tension on the chain, which rotates the rear wheel and pushes the bike forward.