Two masses Definition and 251 Threads

Homework Statement The given system is released from rest. Assuming no friction, mass-less pulleys and ideal strings; calculate the accelerations of the pulleys. Homework Equations Constraint equations. F=ma The Attempt at a Solution Taking the above assumptions; And applying constraints...

Homework Statement Homework EquationsThe Attempt at a Solution i) ##x_{cm} = \dfrac{m_1x_1 + m_2x_2}{m_1 + m_2}## At any time t , ##x_{cm} = v_0t## and ##x_1= v_0t - A(1-\cos{ωt})## From the above two , we get ##x_2 = v_0t + \dfrac{m_1}{m_2}A(1-\cos{wt})## I'm not clear what to do in...

Homework Statement Homework EquationsThe Attempt at a Solution [/B] When the right mass moves horizontally towards right , the verticle force acting on it is Mg - Tcosϑ , where ϑ is the angle which right string makes with verticle . The left mass experiences a force Mg - T . Since verticle...

Homework Statement Question: A body of mass M1=m moving with a velocity V1=v in the x-direction collides with another body of the same mass m2=m moving in the y-direction with the same speed V2=v The coalesce into one body during collision Homework Equations (a) Find the magnitude of the...

Consider two stationary masses, each 1 kg, placed a distance ##d_0## apart. Find the position ##x(t)## of each mass in terms of time ##t##. Consider only gravitation without relativistic effects. Let the distance between the two masses at time ##t## be ##d(t)##. If we set the origin of our...

Homework Statement [/B] A uniform rigid rod with mass Mr = 2.7 kg, length L = 3.1 m rotates in the vertical xy plane about a frictionless pivot through its center. Two point-like particles m1 and m2, with masses m1 = 6.7 kg and m2 = 1.6 kg, are attached at the ends of the rod. What is the...

Edit: Disclaimer, this post contains faulty ideas I'm a 'pedestrian' to physics trying to wrap my mind around various concepts of relativity, and one of those is a visualization of two, say, planets, say each starting at rest. By my understanding, their mass causes space to relatively...

Homework Statement Two masses ##m_1## and ##m_2## are joined by a spring of spring constant ##k##. Show that the frequency of vibration of these masses along the line connecting them is: $$\omega =\sqrt{\frac{k(m1+m2)}{m1m2}}$$ Homework Equations ##x(t)=Acos(\omega t)## ##\omega...

1. The problem statement, all variables Use this photo http://m.imgur.com/a/lQd9q Two masses are connected to two pulleys via ropes.The mass of the hung mass is 16kg and the mass of the object on the slope is 8kg the slope has an angle of 37 degrees. Pulleys 1 has a mas of 6 kg and Pulley 2...

Two masses, m1 and m2, are attached by a light string of length D. Mass m1 starts at rest on an inclined plane and mass m2 hangs as shown. The pulley is frictionless but has a moment of inertia I and radius R. Find the Lagrangian of the system and determine the acceleration of the masses using...

Homework Statement Two masses, m1 and m2, are attached by a light string of length D. Mass m1 starts at rest on an inclined plane and mass m2 hangs as shown. The pulley is frictionless but has a moment of inertia I and radius R. Find the Lagrangian of the system and determine the acceleration...

Homework Statement A block of mass m1 is at rest on an inclined plane that makes an angle (theta) with the horizontal. The coefficient of static friction between the block and the inclined planed is µs. A massless, inextensible string is attached to one end of the block, passes over a fixed...

Homework Statement Two masses are connected by a heavy uniform rope (mass = 4 kg) and a upward force of 200N (Fa) is applied to the block on top; essentially the two masses and the rope are pulled up vertically. The mass on top (m1) weighs 6 kg, the mass on the bottom (m2) weighs 5 kg. 200...

Homework Statement Masses M1 and M2 are connected to a system of strings and pulleys as shown. The strings are massless and inextensible, and the pulleys are massless and frictionless. Find the acceleration of M1. Homework Equations Newton's 2nd Law of motion The Attempt at a Solution So...

Homework Statement Two blocks ##A## and ##B## having masses ##m_1= 1 kg, m_2 = 4 kg## are arranged as shown in the figure, The pulleys ##P## and ##Q## are light and frictionless. All the blocks are resting on a horizontal floor and the pulleys are held such that strings remain just taut. At...

hi I'm writing a javascript application to illustrate gravitational attraction between masses, but am getting hung up on some of the details, particularly mow far masses move in response to each other's gravitation. I've read all available wikipedia articles on gravity and have come up with...

Homework Statement Homework EquationsThe Attempt at a Solution Suppose tension in the left string mAM be T1 and tension in the right string mBM be T2 .When the particles cross each other then the angle made by string mA and mB with vertical is α and that made by AM and BM be β . The speed...

Homework Statement A 3.0 kg and a 5.0 kg box rest side by side on a smooth, level floor. A horizontal force of 32 N is applied to the 3.0 kg box pushing it against the 5.0 kg box, and, as a result, both boxes slide along the floor. How large is the contact force between the two boxes? a) 32N...

Homework Statement Hi all--humanist here. Now that the semester is over, I am taking the opportunity to (attempt to) self-study introductory SR. This is problem 12 in chapter 1 of Special Relativity by AP French. (1-12) A body of mass m1+Δm is connected to a body of mass m2-Δm by a spring of...

Homework Statement Homework Equations T= 2*pi*sqrt(m/k) U=1/2*k*x^2 The Attempt at a Solution https://www.physicsforums.com/attachments/100892, [/B]

Homework Statement Two masses A, and B both sit on a vertical spring. If the spring is compressed then released, why do A and B rise to the same height? (the mass of A is greater than that of B) Homework Equations P = mgh S = 1/2kx2 K = 1/2mv2 The Attempt at a Solution Both masses rise to the...

Homework Statement this is from an example problem in the hibbler dynamics book 13th edition in the section of work so i don't really have a question on how to do it. the question is why is the problem solved the way it is solved. the system has one pulley.one rope.and two masses at each end...

Let's say there are two masses, attached together by a string, and there's a compressed spring in between them. When the string in between is cut off, the spring unloads, pushing both masses in opposite directions. My thinking: 1. Their momentums will be equal to each other. Their momentum...

Homework Statement A mass m moving at speed 4c/5 collides with another mass m at rest. The collision produces a photon with energy E traveling perpendicular to the original direction, and a mass M traveling in another direction. In terms of E and m, what is M? What is the largest value of E (in...

Homework Statement Two masses are connected by a weightless spring in a friction-less semicircular well (Picture included). Derive the equations of motion with help of lagrange Homework Equations L = T - U = kinetic energy - potential energy The Attempt at a Solution ##L =...

went through all the similar questions in the forum and failed to find a similar one to mine. Question: On a frictionless table there are two masses , one of size m with velocity V0 (I'll call it the small mass) and one with mass M that is currently resting (the "big" mass). We connect a spring...

Hello guys! I hope you can give me a hand with this one Homework Statement A satellite consisting of two masses attached by a rigid-massless rod of length L, are orbiting around the Earth at a distance R from the centre of the earth. During the entire movement the rod stays oriented in the...

Homework Statement [/B] Figure 1) Block 1, of mass m1, is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2, as shown. Assume that the blocks accelerate as shown with an acceleration of magnitude a and that the coefficient of kinetic friction between block 2 and...

Homework Statement The system is in equilibrium with the center string exactly horizontal. Find T1, T2, T3, and theta Homework Equations T1cos(angle1)-T2cos(angle2)=0 T1sin(angle1)+T2(angle2)-mass1=0 The Attempt at a Solution Currently working on mass 1 When making free body diagrams for...

Homework Statement So in this exercise, two masses m connected by a massless rod with length l are swinging from two springs with constant k and length b. The two springs also make an angle Ө with the vertical. This angle, for this exercise specifically, is very small. (Gravity can also be...

Homework Statement Two mass-less springs with spring constant k = 1000 N/m each have 1 block attached (Spring A is fixed to the ceiling and is attached to a 5 kg Mass A, Spring B is attached and below the 5 kg Mass A and is attached to another 5 kg Mass B at the other end; this system is...

Homework Statement In the figure shown below all surfaces are friction-less. Find the maximum extension in the spring(in meters) , if the blocks are initially at rest and the spring is initially in its natural length. Details and Assumptions: F=30N k=700N/m m=5kgHomework EquationsThe Attempt...

Homework Statement Two boxes of equal mass m are connected by a light string over a massless pulley, and rest on surfaces of inclination θ and φ, θ>φ. The boxes are released from rest. The coefficient of kinetic friction between the boxes and the surfaces is μ. Determine the magnitude of the...

Homework Statement We have a light rigid pendulum with length ##l##. A mass ##M## is placed at the end and a mass ##m## is placed a distance ##x## from the pivot. What is the period of the pendulum? Homework EquationsThe Attempt at a Solution Reduce the problem to a single mass situation...

Homework Statement Masses ##M_1## and ##M_2## are connected to a system of strings and pulleys as shown (I have attached an image). The strings are massless and inextensible, and the pulleys are massless and frictionless. Find the acceleration of ##M_1##. Homework Equations $$\sum_{}^{} F_y...

Homework Statement Two masses are connected by massless and frictionless pulleys and string. The coefficients of friction are µs = 0.35 and µk = 0.25 between mass m1 and the table. The masses are m1 = 8.0 kg and m2 = 8.0 kg. Find the acceleration of each mass and the tension in the string...

Homework Statement Two masses are connected by a string that hangs over a frictionless pulley with mass 8kg, radius .25m, and moment of inertia .5mr^2. One mass lays on the ground and has mass 15kg. The other mass is 22.5 kg and is 2.75 m above the ground. Use conservation of energy to...

Homework Statement The gravitational field strength between two objects is the sum of two vectors pointing in opposite directions. Somewhere between the objects, the vectors will cancel, and the total force will be zero. Determine the location of zero force as a fraction of the distance r...

Homework Statement A pulley with mass Mp and a radius Rp is attached to the ceiling, in a gravity field of 9.81 m/s2 and rotates with no friction about its pivot. Mass M2 is larger than mass m1. The quantities Tn and gare magnitudes. Homework Equations (Select T-True, F-False, G-Greater than...

Homework Statement The system shown in consists of two balls A and B connected by a thin rod of negligible mass. Ball A has three times the inertia of ball B and the distance between the two balls is ℓ. The system has a translational velocity of v in the x direction and is spinning...

Homework Statement Two masses, mA = 40.0 kg and mB = 55.0 kg, are connected by a massless cord that passes over a pulley that is free to rotate about a fixed axis. This device is known as an Atwood’s Machine. The pulley is a solid cylinder of radius R = 0.360 m and mass of 7.50 kg. 1...

This is a problem from my physics homework. I copied the diagram below as best I could from the text. It's not the best rendering but you'll get the idea. 1. Homework Statement Two blocks are at rest on a frictionless incline, as shown in the figure. Part A. What is the tension in the string...

This is a problem from the Goldstein text. It gives two point masses ##m_1## and ##m_2## connected by a string (negligible mass), where ##m_2## is suspended by the string through a hole in a smooth table; ##m_1## rests on the table. It is important to note that ##m_2## only travels in a vertical...

Given two masses falling towards each other under gravitational attraction, do they meet at their joint center of mass, assuming other gravitational forces are negligible?

1. Homework Statement The system shown in the diagram contains two blocks, of masses 1.9 kg and 5.7 kg, connected by a light string over a pulley of radius 0.15 m and rotational inertia 2.8 kg m 2 . The block of mass 5.7 kg is free to slide on a horizontal frictionless surface and the pulley is...

Homework Statement I am currently taking a Summer physics course, and today we were given a Force/Friction problem that even after the professor explained, I could not fully understand...

Hello. I don't have a specific homework problem but more of an ideology problem with my brain. According to Newton's law of gravitation (written below), the force of gravity is directly proportional to the masses of both the objects under consideration. Why, then, is the force on a cart that...

Homework Statement The ratio of the time periods of small oscillation of the insulated spring and mass system before and after charging the masses is (a) ≥ 1 (b) > 1 (c) ≤ 1 (d) = 1 Homework Equations The Attempt at a Solution First I calculated the time period of...

Homework Statement Two small bodies initially at rest and free to move from a distance of 1m from each other are subjected to only their gravitational force of attraction. They approach each other and collide and do not separate. In respect to this collision which of the following statement is...

Homework Statement A uniform sphere has mass M and radius r. A spherical cavity (no mass) of radius r/2 is then carved within this sphere (the cavity's surface passes through the sphere's center and just touches the sphere's outer surface). The centers of the original sphere and the cavity...