Question

In: Physics

A stepladder consists of two sides of equal mass and a length of 3.7 m, and...

A stepladder consists of two sides of equal mass and a length of 3.7 m, and the two sides are connected by a rope fixed 1.2 m from the bottom of the ladder. When opened, the angle between the two sides of the ladder is 61°. The ladder stands on a frictionless horizontal floor.

Determine the tension in the rope T and the reaction force at the top hinge if the total mass of the ladder is 17 kg. (Hint: draw free body diagram for one side of the ladder)

Solutions

Expert Solution

The stepladder is in equilibrium,so net force and net torque acting on it are zero.External forces acting on the ladder are gravitational force,normal force.First draw FBD of the complete ladder and find normal force exerted by the ground then draw FBD of one side of the ladder to find the tension force and the reaction force.


Related Solutions

Problem 21: A uniform stationary ladder of length L = 3.7 m and mass M =...
Problem 21: A uniform stationary ladder of length L = 3.7 m and mass M = 19 kg leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is μ = 0.44. The ladder makes an angle θ = 56° with respect to the floor. A painter of mass 8M stands on the ladder a distance d from its base. Part (a) Find the magnitude...
A thin, rectangular sheet of metal has mass M and sides of length a and b....
A thin, rectangular sheet of metal has mass M and sides of length a and b. Find the moment of inertia of this sheet about an axis that lies in the plane of the plate, passes through the center of the plate, and is parallel to the side with length b. Express your answer in terms of some or all of the variables M, a, and b Find the moment of inertia of the plate for an axis that lies...
A pendulum consists of a stone with mass m swinging on a string of length L...
A pendulum consists of a stone with mass m swinging on a string of length L and negligible mass. The stone has a speed of v0 when it passes its lowest point. (a) Write an expression for the speed of the stone when the string is at some angle theta with the vertical. (b) What is the greatest angle with the vertical that the string will reach during the stone's motion? (c) If the potential energy of the pendulum-Earth system...
A ballistic pendulum consists of a thin rod AB (length = 2.0 m; mass = 1.14...
A ballistic pendulum consists of a thin rod AB (length = 2.0 m; mass = 1.14 kg) that is rigidly attached to a solid sphere that has a center C, radius = 0.4 m, and mass = 2.45 kg. A bullet (mass = 0.01 kg) is fired at point C with a speed of 675 m/s. Determine the amount of kinetic energy lost by the system due to the impact.
Two solid spheres are running down from incline of height 3.7 m. Sphere A has mass...
Two solid spheres are running down from incline of height 3.7 m. Sphere A has mass 3.3 kg; radius 15.7 cm; sphere B has mass 7.4 kg and radius of 39.3 cm. Find the ratio of their angular velocities omegaA/omegaB at the bottom of the incline.
The base of a right pyramid is a regular hexagon with sides of length 10 m....
The base of a right pyramid is a regular hexagon with sides of length 10 m. The altitude is 5 m. Find the total surface area of the pyramid. The area is _______m2.
A beam resting on two pivots has a length of L = 6.00 m and mass...
A beam resting on two pivots has a length of L = 6.00 m and mass M = 91.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass  m = 51.0 kg steps onto the left end of the beam and begins walking to the right as in the figure below....
A beam of length L and mass M rests on two pivots. The first pivot is...
A beam of length L and mass M rests on two pivots. The first pivot is at the left end, taken as the origin, and the second pivot is at a distance , from the left end. A woman of mass m starts at the left end and walks toward the right end. When the beam is on the verge of tipping, find symbolic expressions for (a) the normal force exerted by the second pivot in terms of M, m,...
Consider an equilateral triangle with sides measuring 1.0 m in length. At each point of the...
Consider an equilateral triangle with sides measuring 1.0 m in length. At each point of the triangle is a +2.0 ?C charge. Calculate the Coulomb force on each charge. Recall that forces are vectors and thus your answer will require a magnitude and direction for each of the three forces.
The free-fall acceleration on Mars is 3.7 m/s2 (a) What length pendulum has a period of...
The free-fall acceleration on Mars is 3.7 m/s2 (a) What length pendulum has a period of 2.0-s on Earth? (b) What length pendulum would have a 2.0-s period on Mars? An object is suspended from a spring with force constant 10 N/m. (c) Find the mass suspended from this spring that would result in a 2.0 s period on Earth. (d) Find the mass suspended from this spring that would result in a 2.0 s period on Mars.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT