Question

An object with mass m1 = 3.70 kg, rests on a frictionless horizontal table and is...

An object with mass m1 = 3.70 kg, rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass m2 = 10.8 kg, as shown in the figure.

Two objects labeled m1 and m2 are attached together by a cable.

  • Object m1 lies on a horizontal table with the cable extending horizontally from its right side.
  • The cable extends horizontally from the right side of m1 then goes over a pulley and then straight down to m2.
  • Object m2 hangs from the cable.

(a) Find the magnitude of the acceleration of each object.

a1=
a2=


(b) Find the tension in the cable.
N

Homework Answers

Answer #1

(a)

The given two masses are connected by the same cable so they have the same acceleration:
The total mass of the system is

M = m1+m2

= 14.5 kg

The net force on the system is due to the force of gravity on the second hanging block.

Calculate the acceleration of the blocks by applying Newton' second law.

m2*g = M*a
a = 9.81*10.8/(14.5)

= 7.31 m/s2

a1=7.31 m/s2

a2=7.31 m/s2

(b)

Calculate the tension in the cable by applying Newton's second low on mass 2.

m2*g-T = m2a

T= m2*g-m2*a

= 9.81*10.8 - 10.8*7.31

= 27 N

Please “LIKE” the solution if this answer is helpful for you.

If you have any doubt please ask me in comment before rate.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An object of mass m1 = 4.90 kg placed on a frictionless, horizontal table is connected...
An object of mass m1 = 4.90 kg placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging object of mass m2 = 7.40 kg as shown in the figure.
Objects of masses m1 = 4.00 kg and m2 = 9.00 kg are connected by a...
Objects of masses m1 = 4.00 kg and m2 = 9.00 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The object m1 is held at rest on the floor, and m2 rests on a fixed incline of θ = 37.5°. The objects are released from rest, and m2 slides 1.10 m down the slope of the incline in 4.45 s. A triangular structure is oriented such that its base rests...
A mass m1 = 1 kg on a horizontal table is pulled by a string looped...
A mass m1 = 1 kg on a horizontal table is pulled by a string looped over a massless frictionless pulley and attached to another hanging mass m2. The coefficient of kinetic friction between the table and mass m1 is 0.5 and the coefficient of static friction is 0.6. a) What is the minimum mass m2 that will start both masses moving? b) What is the acceleration of the system with this minimum mass?
7) A block of mass m1 = 38 kg on a horizontal surface is connected to...
7) A block of mass m1 = 38 kg on a horizontal surface is connected to a mass m2 = 21.6 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction between m1 and the horizontal surface is 0.24. (a) What is the magnitude of the acceleration (in m/s2) of the hanging mass? Answer:    m/s2 (b) Determine the...
A hanging weight, with a mass of m1 = 0.365 kg, is attached by a cord...
A hanging weight, with a mass of m1 = 0.365 kg, is attached by a cord to a block with mass m2 = 0.815 kg as shown in the figure below. The cord goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As...
A hanging weight, with a mass of m1 = 0.370 kg, is attached by a string...
A hanging weight, with a mass of m1 = 0.370 kg, is attached by a string to a block with mass m2 = 0.850 kg as shown in the figure below. The string goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As...
An Atwood's machine consists of blocks of masses m1 = 12.0 kg and m2 = 22.0...
An Atwood's machine consists of blocks of masses m1 = 12.0 kg and m2 = 22.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M = 7.60 kg and radius r = 0.200 m. The block of mass m2 is allowed to drop, and the cord turns the pulley without slipping. Two objects, blocks labeled m1 and m2, are connected to a cord which is hung...
A hanging weight, with a mass of m1 = 0.355 kg, is attached by a rope...
A hanging weight, with a mass of m1 = 0.355 kg, is attached by a rope to a block with mass m2 = 0.845 kg as shown in the figure below. The rope goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As...
Two objects are connected to a rope, and the rope is hung over a pulley connected...
Two objects are connected to a rope, and the rope is hung over a pulley connected to the ceiling, as shown in the figure below. Two objects, labeled m1 and m2, are connected to a rope which is hung over a pulley connected to the ceiling. The pulley is of mass M and radius R. An object labeled m1 hangs suspended off the surface on the left side of the pulley. An object m2 is on the right side of...
A textbook of mass 2.09 kg rests on a frictionless, horizontal surface. A cord attached to...
A textbook of mass 2.09 kg rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.130 m , to a hanging book with mass 3.02 kg . The system is released from rest, and the books are observed to move a distance 1.12 m over a time interval of 0.790 s . What is the tension in the part of the cord attached to the textbook? What is the tension...