A 30.0-kg girl in a swing is pushed to one side and held at rest by a horizontal force F→ so that the swing ropes are 30.0° with respect to the vertical. (a) Calculate the tension in each of the two ropes supporting the swing under these conditions. (b) Calculate the magnitude of F→.

A 30.0-kg girl in a swing is pushed to one side and held at rest by a horizontal force F→ so that the swing ropes are 30.0° with respect to the vertical. (a) Calculate the tension in each of the two ropes supporting the swing under these conditions. (b) Calculate the magnitude of F→.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.19P

See similar textbooks

Related questions

Q: A ball is thrown towards a smooth floor at a 32.5 degrees angle from the horizontal. When the…

Q: In Tokyo Olympic 2020, diver from China, Shi Tingmao performed and outstanding performance with…

A: Given, She bounces off with velocity 4 m/s Air resistance is 0. Displacement is the net distance…

Q: Considering all Surfaces friction is 0.3, Determine the Maximum Value of force P without causing the…

Q: A 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned…

A: given thatmass, m=1.50×103 Nθ=30α=27

Q: A homogeneous wire of mass (300 g) and length (6 m) The rope passes over a pulley and a weight of (2…

Q: A cube of mass m is initially at rest at the top of an inclined plane, which has a height of 6.6 m…

A: mass of cube = m initial height = 6.6 m θ = 21ov = 0.65 mscoefficient of friction between the cube…

Q: A uniform density sheet of metal is cut into the shape of an isosceles triangle, which is oriented…

Q: At what angle does the tension in the 0.6 m long pendulum cord become zero if the 1.0 kg pendulum…

A: Length of string(l)= 0.6 m Speed at lowest point(v) = 5 m/s2 Mass(m) = 1 kg

Q: Calculate the magnitude of the force P needed to push the block of mass 15 kg at constant velocity…

Q: 100 kg 20° mo 90 kg 105 kg O 101 kg O 100kg

Q: A homogenous ladder 10m long and weighing 3.5 kg/m leans against a vertical wall. The angle between…

Q: A spring stretches 5.0 cm when a 0.20 kg block is hung from it. If a 0.70 kg block replaces the 0.20…

A: The force of the first block, The spring stretch when the first block hung on it,

Q: A 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned…

Q: The figure below shows two blocks connected by a string of negligible mass passing over a…

A: We need to calculate the value of m2 for the two given situations.

Q: A uniform chain of length 8.00 m initially lies stretched out on a horizontal table. (a) Assuming…

Q: If a 1.6 kg object is initially at rest on a frictionless, horizontal surface and subjected to a…

A: Given data: Mass (m) = 1.6 kg Initial velocity = 0 m/s Force (F) = 12.2 N Distance (d) = 3.99 m…

Q: A 7 kg block measures 9 cm by 15 cm by 27 cm. When it slides on a 15 cm by 27 cm face, it moves with…

A: The kinetic frictional force is given by, fk=μkN Here,μk is the coefficient of kinetic friction, N…

Q: B се 450 In Fig. 2, the partioles A and B, of mass 8 kg and 6 kg respectively, are connected by a…

Q: What is the magnitude of the force required to stretch a spring that has a constant of 425 N / m and…

A: given , K1 = 425 n/m K2 = 215 n/m

Q: Problem 07: Locate the amount and position of the resultant of the loads acting on the truss shown…

Q: Problem 8.2 As shown in Fig. 8.4, consider a block of mass 45 kg which is being pulled on a rough…

Q: Fig. 3(a) shows a train that consists of a 180 Mg locomotive and one hundred 90 Mg hopper cars. The…

Q: a 5 kg mass hangs from the ceiling on a rope. when the mass is released from an angle of 5 degrees…

A: Period, T= 3.2 s Mass, m =5 kg Angle = 5o

Q: In reality, the product r*v remains fixed when the string is pulled in. That means that v increases…

Q: A block with a mass of 0.350kg is placed on a rough planar surface that is inclined 30° above the…

A: The mass of the block, m=0.350 kg The angle of inclination, θ=30° The coefficient of static…

Q: A 14 kg block measures 7 cm by 9 cm by 25 cm. When it slides on a 9 cm by 25 cm face, it moves with…

A: The expression for friction force is Ff=μkN Friction force depends on the coefficient of friction…

Q: When the load L is 11.6 m from point C, the tension T in the cable has a magnitude of 8.0 kN.…

Q: For a 2D problem in the x-y plane, select the three equations that satisfy the static equilibrium:…

Q: An object of mass m=2 kg placed on a rough horizontal surface is given an initial speed of 9m/s and…

A: Given: The mass of the object is 2 kg. The initial speed of the object is 9 m/s. The final speed of…

Q: A 2.2-lb slider is propelled upward at A along the fixed curved bar which lies in a vertical plane.…

Q: A monkey of mass m = 10.0 kg is holding on to two vines each of length l = 3.00 m. The vines form an…

Q: Two springs, with force constants k1=140N/m and k2=275N/m, are connected in series, as shown in the…

A: Answer: Given K1=140 N/m K2=275 N/m mass m=0.5 kg…

Q: A block, initially at rest, has a mass m and sits on a plane inclined at angle theta. It slides a…

Q: Jadon is 5 years old and weighs 45.0 pounds. He is sitting on a swing when his cousinAllison pulls…

Q: Fy 30° Problem 04. (D-EVEN) If F, = 400lb and F3 = 800lb, determine the magnitude of F1. Also,…

Q: to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a…

Q: An 85 kg man stands in a very strong wind moving at 14 m/s at torso height. As you know, he will…

A: a. Write the formula for the drag force acting on the man.

Q: a block of mass m is initially at rest at the highest point of an inclined plane, which has a height…

Q: as an angle of θ = 28° with respect to the horizontal. After it has been released, it is observed to…

A: height = h = 4.7 m Angle = 28 degrees initial velocity = V0= 0 m/s

Q: A bridge crossing a ravine has mass Mb and length L. The bridge is supported by pilings at points A…

A: The figure shows the Free Body Diagram of the bridge with mass mb and the truck with mass mt with…

Q: When the load L is 4.7 m from point C, the tension T in the cable has a magnitude of 5.4 kN. Express…

Q: A ladder of mass M and length L = 4 m on a level floor leaning against a vertical . The coefficient…

Q: A block of mass m is initially at rest at the top of an inclined plane, which has a height of 4.8 m…

A: In this question we have to determine the speed of the block after it leaves the inclined plane and…

Q: A 85-kg man starts climbing a ladder that leans against a wall as shown in the diagram. If the…

Q: Consider a flat-bed truck whose mass, including its contents, is supported equally by its four…

A: The frictional force is equal to the frictional coefficient times the normal force. F=μfN Here, F…

Q: A block of wood is projected up an inclined plane with initial speed og. If the inclination of the…

Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

100%

A 30.0-kg girl in a swing is pushed to one side and held at rest by a horizontal force F^→ so that the swing ropes are 30.0° with respect to the vertical. (a) Calculate the tension in each of the two ropes supporting the swing under these conditions. (b) Calculate the magnitude of F^→.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A block with a mass of 0.350kg is placed on a rough planar surface that is inclined 30° above the horizontal. The maximal coefficient of static friction 0.25 and the coefficient of kinetic friction is 0.12. If the block is released from rest, what acceleration does it experience?
A two-dimensional, conservative force is zero on the x- and y-axes, andsatisfies the condition ⎛⎝dFx /dy⎞⎠ =⎛⎝dFy /dx⎞⎠ =⎛⎝4 N/m3⎞⎠xy . What is the magnitude of the force at the pointx = y = 1 m?
a thin horizontal bar AB of negligible weight and length L is hinged to a vertical wall at A and supported at B by a thin wire BC that makes an angle u with the horizontal. A block of weight W can be moved anywhere along the bar; its position is defined by the distance x from the wall to its center of mass. As a function of x, find (a) the tension in the wire, and the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A.
A crate of mass mm is initially at rest at the peak of an inclined plane which has a height of 4.43m4.43m and makes an angle of θ=24.2 with respect to the horizontal. After it has been released, it is found to be traveling at v=0.99m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the crate and the plane is μp=0.1, and the coefficient of friction on the horizontal surface is μr=0.2. a.-Find the distance, d, in meters.
In the figure, the blocks have masses mA = 3.0 kg and mB = 5.0 kg. Between the wall and block B there is static friction, of coefficient 0.80 and the spring of block A, with elastic constant 580 N/m is stretched by x = 2.60 cm (elastic force points in the +y direction).The force F has a value of 100 N at time t = 0, but gradually reducing according to the expression F = 100 − 16t N (subject at F > 0).After how long will B slip?
A block of mass m is initially at rest at the top of an inclined plane which has a height of 6.18m and makes an angle of θ=25.2∘ with respect to the horizontal. After being released, it is observed to be traveling at v=0.14m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the block and the plane is μp=0.1, and the coefficient of friction on the horizontal surface is μr=0.2. Find the distance, d, in meters.
If a particle or a body is in equilibrium under the action of three forces, what can you say about the lines of action of the three forces?
A pendulum consists of a 2.0 m long steel wire supporting a lentil of mass 20 kg. If the pendulum is released from a position where it makes an angle of 60 with the vertical, find the difference in length of the wire when the bob is in the initial position and when it passes through its lowest position.
A man stands on his toes by exerting an upward force through the Achilles tendon, as in the figure. Calculate the force in the Achilles tendon if he stands on one foot and has a mass of 80kg.
For the adapted shuffleboard device in Prob 13.28, you decide to utilize an elastic cord instead of a compression spring to propel the puck forward. When the cord is stretched directly between points A and B , the tension is 20 N. The 425-gram puck is placed in the center and pulled back through a distance of 400 mm; a force of 100 N is required to hold it at this location. Knowing that the coefficient of friction is 0.3, determine how far the puck will travel.Reference to Problem 13.28:
A horizontal rod of length 429 cm is held aloft by friction against a brick wall on one end and on the other end by a rope of length 584 cm, which itself is attached to the brick wall directly above where the rod touches the wall. The coefficient of static friction between the wall and the rod is 0.458. A ball of the same weight as the rod hangs from the rod. Find What is the minimum distance ball must hang from the wall in order to the rod to stay stable?
Four bricks of length L, identical and uniform, are stacked on top of one another in such a way that part of each extends beyond the one beneath. Find, in terms of L, the maximum values of (a) a1, (b) a2, (c) a3, (d) a4, and (e) h, such that the stack is in equilibrium, on the verge of falling.