The mass m1 is free to rotate on a frictionless table. Mass m1 rotates at a constant speed in a circle of radius r and is connected by a string through a hole in the table to a hanging mass m2 . Mass m2 is at rest.\ a. Using variables, write Newton’s 2nd law in the x- and y-direction for mass m2. Suppose m1 = 2.0kg, m2 = 3.0kg, and r = 0.50m b. With what speed must the m1 rotate so that the hanging mass remains at rest?

The mass m1 is free to rotate on a frictionless table. Mass m1 rotates at a constant speed in a circle of radius r and is connected by a string through a hole in the table to a hanging mass m2 . Mass m2 is at rest.\ a. Using variables, write Newton’s 2nd law in the x- and y-direction for mass m2. Suppose m1 = 2.0kg, m2 = 3.0kg, and r = 0.50m b. With what speed must the m1 rotate so that the hanging mass remains at rest?

Related questions

Q: Consider a 2.00-kg object that rotates around a vertical axis at a radius of 33.1 meters. The speed…

A: m=2 kg r= 33.1 m v=0.192rt2 acceleration a=dvdt=ddt0.192rt2 a=0.384rt

Q: The three boxes below have the following masses m1=1.1 kg, m2=7.4 kg, and m3=9.5 kg. The surface is…

A: Newton's second law of motion states that the acceleration of an object is directly proportional to…

Q: Hk = 0.200. The angle 0 of the incline is 27.5°. If block 2 is moving up the incline at constant…

Q: In the figure below the two blocks are connected by a string of negligible mass passing over a…

Q: An astronaut on the moon places a package on a scale and finds its weight to be 13 N. (a) What…

Q: A 3 kg body is connected via an inextensible cable to a 1 kg body. A 30 N force at 37 degrees to the…

Q: Three blocks of masses m₁ = 1 kg, m₂ = 2 kg, and m3 = 4 kg, are connected by massless strings, one…

Q: Jimmy's heart accelerates 2.4 x 10°kg of blood from 0.15 m/s to 0.32 m/s over an elapsed time of…

A: This question is based on Laws of motion topic. We need to know equation of motion and force formula…

Q: An elevator cab and its load have a combined mass of 1600 kg. With a supporting cable, the cab is…

A: Combined mass = M = 1600kg One supporting cable Initial Velocity = u = 12m/s Brought to rest in a…

Q: Three forces acting on a spherical mass M are depicted in the diagram below. Force,…

Q: Two masses, m1 = 30kg and m2 = 20kg, are connected by a massless rope that has been placed over a…

A: The acceleration of an object as produced by a net force is directly proportional to the magnitude…

Q: A person of mass M=80 kg stands on a scale inside an elevator to measure her apparent weight. What…

A: Given, mass=80 kg initial velocity=4j m/s d=2m let constant acceleration be a m/s^2

Q: Body A in the figure weighs 96 N, and body B weighs 16 N. The coefficients of friction between A and…

A: Given: ωA=96N, ωB=16N μS=0.59, μk=0.25, θ=28°

Q: . .... n the figure below the two blocks are connected by a string of negligible mass passing over a…

Q: -5 A flea jumps by exerting a force of 1. 80 x 105 N straight down on the ground. A breeze blowing…

Q: A 0.25 kg particle moves in an xy plane according to -3.7 1542-43 and y(t) = 25 + 7t9t2, with x and…

A: We are given x and y coordinates as function of time. Differentiating them respectively gives x and…

Q: Two identical balls of mass m are attached to the ends of a massless rod of length L. The rod is…

A: To answer: a) Give the speed and acceleration of the upper ball as a function of the angle α between…

Q: 5. A 0.400 kg mass is attached to the end of a string and is to rotate about the other end, 0.700 m…

Q: Two blocks, M1 and M2, are connected by a massless string that passes over a massless pulley as…

A: Given: The mass of block M2 is 25.0 kg. The angle is 25.0 degrees.

Q: A flea jumps by exerting a force of 1.17 x 10-5 N straight down on the ground. A breeze blowing on…

Q: At t = 0, an object of mass m is at rest at x = 0 on a horizontal, frictionless surface. A…

Q: In the figure, block 1 has mass m, = 470 g, block 2 has mass m2 = 540 g, and the pulley is on a…

A: a) The kinematic equation is given by, s = ut+1/2 at2 = 0+1/2at2 a = 2s/r2 =…

Q: A mass m2 kg undergoes circular motion of radius re39.4 cm on a horizontal frictionless table,…

A: Given: The radius of the circular path is 39.4 cm. The mass of the object is 2 kg. The time period…

Q: A block of mass M slides down a frictionless plane inclined at an angle è with the horizontal. The…

A: Gravitational force is attractive force on the object by the gravity,

Q: An astronaut takes a set of scales to do some measurements while travelling. Before leaving earth,…

A: Weight = mg

Question

100%

The mass m₁ is free to rotate on a frictionless table. Mass m1 rotates at a constant speed in a circle of radius r and is connected by a string through a hole in the table to a hanging mass m₂ . Mass m₂ is at rest.\

a. Using variables, write Newton’s 2nd law in the x- and y-direction for mass m₂.

Suppose m₁= 2.0kg, m₂= 3.0kg, and r = 0.50m

b. With what speed must the m₁ rotate so that the hanging mass remains at rest?

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

The two masses shown in the figure are in equilibrium and the inclined plane is frictionless. m₂ m₁ 0 i If 0 = 32.0° and m₂ = 3.61 kg, determine the mass of m₁. 18.75 X kg Question 4.2c: The three masses shown in the figure are in equilibrium and the inclined plane is frictionless. If 0 = 38.4°, m₂ = 2.00 kg, and m3 = 4.86 kg, determine the mass m₁ and the magnitude of the tension 7 in the string connecting m₂ and m3. m₂ m₂ m₂ i mass m₁ = 5.02 e X kg
On 24 November 2021 the DART (Double Asteroid Redirection Test) spacecraft was launched. Its mission is to assess the ability of an impact to deflect the path of an asteroid. DART was launched on a Falcon 9 rocket. At launch a Falcon rocket has a mass of 555 000 kg and generates a force of 7.6 x 106 N. A. Neglecting the effect of gravity, what is the initial acceleration of the rocket? Give your answer to an appropriate number of significant figures. B. Assuming that the initial acceleration remains constant, how fast will the rocket be moving after 2 seconds? C. In practice, as the rocket burns fuel, its mass decreases. Assuming the thrust remains the same, how would your answer to part (ii) change? Would the speed after 2 seconds be lower, the same or higher?
Henry is lifting a jug of water with mass 3.82 kg from a floor at the rate of 0.89 m/s2. What is the magnitude of the force Henry applies to the jug of water in the unit of N? Use g = 9.81 m/s2 to calculate the weight force. Round your answer to the nearest tenths if necessary.
A flea jumps by exerting a force of 1.20×10−5 N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 0.500×10−6 N on the flea. (a) Find the direction of the acceleration (relative to the +y axis) of the flea if its mass is 6.00×10−7 kg. Do not neglect the gravitational force.
An astronaut on the moon places a package on a scale and finds its weight to be 35 N. (a) What would the weight of the package be on the earth? N(b) What is the mass of the package on the moon? kg(c) What is the package's mass on earth? kg
A flea jumps by exerting a force of 1.28 × 10-5 N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 0.660 x 10-6 N on the flea. Find the direction and magnitude of the acceleration of the flea if its mass is 6.50 x 10-7 kg. Do not neglect the gravitational force. (Assume that the breeze blows in the +x-direction and that the +y-direction is up.) magnitude m/s2 direction o counterclockwise from the +x-axis Additional Materials
The nucleus of Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they are 3.00 x 10-15 m apart? N (b) What is the initial magnitude of the acceleration of the alpha particles due to this force? Note that the mass of an alpha particle is 4.0026 u. m/s²
B of mass Car A of mass m is driving with a speed 2v on a road with radius of curvature R. Car 2m is driving with a speed v on the same road. Assume that the only force in the normal direction is the force of friction. By what factor does the required force of friction vary from car A to car B so that the cars do ot slide out?
Isaac Newton looks up at an apple. He is on planet earth and starts to think... which of his thoughts are true? (a) The force on the Earth is greater than the apple- because the Earth is more massive. (b) The force on the apple and the Earth are 0 because they aren't touching. (c) The force on the apple is greater than the Earth- because the Earth is more massive. (d) The force on the apple and the Earth are equal.
The nucleus of Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they are 3.16 x 10-15 m apart? N (b) What is the initial magnitude of the acceleration of the alpha particles due to this force? Note that the mass of an alpha particle is 4.0026 u. m/s2
A car accelerates down a hill (see figure below), going from rest to 22.0 m/s in 8.40 s. A toy inside the car hangs by a string from the car's ceiling. The ball in the figure represents the toy, of mass 0.180 kg. The acceleration is such that the string remains perpendicular to the ceiling. (a) Determine the angle e. (b) Determine the tension in the string.