The figure shows two bodies connected by a rope passing through a pulley of radius R, such that the system is in equilibrium. The angle of inclination of the left plane with respect to the floor is θ and that of the right plane is ϕ. If the mass of the body on the left is m1, find the mass of the body on the right and the magnitude of the normal forces acting on both bodies.

The figure shows two bodies connected by a rope passing through a pulley of radius R, such that the system is in equilibrium. The angle of inclination of the left plane with respect to the floor is θ and that of the right plane is ϕ. If the mass of the body on the left is m1, find the mass of the body on the right and the magnitude of the normal forces acting on both bodies.

Similar questions

A small block with mass m is set on the top of an upside-down hemispherical bowl. If the coefficient of static friction between the block and the bowl is μs and the block is slowly repositioned at different points down the surface of the bowl, at what angle measured from the vertical will the block begin to slide? Write your answer in terms of the mass, m; the gravitational acceleration on Earth, g; and the coefficient of static friction, μs. (Assume the +y axis is vertically upward.)
A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 515 N. As the drawing shows, she is closer to the left cliff than to the right cliff, with the result that the tensions in the left and right sides of the rope are not the same. Find the tensions in the rope to the left and to the right of the mountain climber.
A block having a mass of m = 19.5 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: α = 11° and β = 34°. Find the numeric value of T1 and T2 in newtons.
Inclined plane diagram: Also String 1 String 2 String 1 B C A The diagram above shows Carts B and C which roll without friction over an inclined plane. The plane is inclined at an angle of theta = 0 away from vertical, as shown in the diagram. Carts B and C are connected by an essentially massless string. Another massless string runs from Cart B over a massless and frictionless pulley to a hanging block, Block A.
Three blocks with masses 6 kg, 9 kg, and 10 kg are connected as shown below. The coefficient of friction between the table and the 10 kg block is 0.20. Find (a) the acceleration of the system and (b) the tension in the cord on the left and in the cord on the right.
The two massless pulleys are connected by a massless inextensible rope. The system is subject to the weights W1 = m,g and W2 = m,g. Determine the force in the rope, the acceleration of the mass m1 and its velocity in dependence of the covered distance.
Two blocks of mass M₁ and M₂ are connected by a massless string that passes over a massless pulley as shown in the figure. M₁ has a mass of 3.75 kg and rests on an incline of 0₁ = 65.5°. M₂ rests on an incline of 02 = 23.5°. Find the mass of block M₂ so that the system is in equilibrium (i.e., not accelerating). All surfaces are frictionless. M2 M₂ = kg
You are analyzing an Atwood machine with masses m1 and m2 connected over a pulley by a massless unstretchable string. The left-hand mass, m1, rests on an inclined plane forming an angle q with the horizontal direction. Find the acceleration of the masses and the tension in the string. m1 m2 theta 2 5 30
A block with mass m1 is placed on an inclined plane with slope angle α and is connected to a second hanging block with mass m2 by a cord passing over a small, frictionless pulley (Figure 1). The coefficient of static friction is μs and the coefficient of kinetic friction is μk. Find the mass m2 for which block m1 moves up the plane at constant speed once it is set in motion. (Express your answer in terms of some or all of the variables m1, α, μs, and μk.) Find the mass m2 for which block m1 moves down the plane at constant speed once it is set in motion. (Express your answer in terms of some or all of the variables m1, α, μs, and μk.) For what minimum value of m2 will the blocks remain at rest if they are released from rest? (Express your answer in terms of some or all of the variables m1, α, μs, and μk.) For what maximum value of m2 will the blocks remain at rest if they are released from rest? Express your answer in terms of m1, α, μs, and μk.)
A child is flying a large kite of mass 3.7 kg on a windy day. At the moment shown the tension from the string on the kite has a magnitude of 11 N and makes an angle of θ = 33.9∘ from the vertical, and the acceleration of the kite has a magnitude of ak = 7 m/s^2 and makes an angle of ϕ = 38.9∘ from the vertical as shown in the figure below. The only forces felt by the kite are its own weight, the tension from the string, and a force from the wind. Find the Magnitude of the horizontal component of Fwk. Find the Magnitude of the vertical componenet of Fwk. I have attached my work to show how I got my answers. When I entered them, they were wrong. What am I doing wrong and can you please show me how to do the problem correctly?
A block of mass m t = 4.0 kg is put on top of a block of mass m b = 5.0 kg. To cause the top block to slip on the bottom one while the bottom one is held fixed, a horizontal force of at least 12 N must be applied to the top block (not pictured). The assembly of blocks is now placed on a horizontal, frictionless table. Find the magnitudes of (a) the maximum horizontal force F that can be applied to the lower block so that the blocks will move together and (b) the resulting acceleration of the blocks.Can you solve this with a detailed explanation
Consider a conical pendulum with a bob of mass m = 58.0 kg on a string of length L = 10.0 m that makes an angle of 8 = 2.00° with the vertical. (Consider +î to be towards the center of the circular path and +j to be upward.) (a) Determine the horizontal and vertical components of the force exerted by the string on the pendulum. NI+ Nj (b) Determine the radial acceleration of the bob. m/s²