Question

A stone with mass m is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, similar...

A stone with mass m is suspended from the free end of a wire that is wrapped around the
outer rim of a pulley, similar to what is shown in the figure. The pulley is a uniform disk with mass
M and radius R and turns on frictionless bearings. You measure that the stone travels a distance h
during a time interval of t starting from rest.

A) Find the mass of the stone in terms of m, M, h g, and t.

B) Find the tension in the string in terms of M, h, and t.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

m = mass of stone M = mass of Pulley a = linear acceleration y mla of stone mg x = angular acceleration of pulley ra-Rx momerxh (m of 2m) = rmg&t² Mh f2mh = mgt² » m gf2_zh) - Mh Mh M = gt²2h gt²_2h ® 1 м. ІЅ T = Ma 7 .. M+2m мм 9 M f2m T M9 Mg gt²_2

Add a comment
Know the answer?
Add Answer to:
A stone with mass m is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, similar...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A stone is suspended from the free end of a wire that is wrapped around the...

    A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, similar to what is shown in (Figure 1) . The pulley is a uniform disk with mass 13.0 kg and radius 39.0 cm and turns on frictionless bearings. You measure that the stone travels a distance 12.8 m during a time interval of 3.50 s starting from rest. a) Find the mass of the stone. b) Find the tension...

  • A stone is suspended from the free end of a wire that is wrapped around the...

    A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, as shown in the figure (see the figure (Figure 1) ). The pulley is a uniform disk with mass 10.0kg and radius 47.0cm and turns on frictionless bearings. You measure that the stone travels a distance 12.3m during a time interval of 3.20s starting from rest. A. Find the mass of the stone. Take the free fall acceleration to...

  • Answer गष्टट se.c Questions 4-8: A stone of mass, m 2kg is suspended from the free...

    Answer गष्टट se.c Questions 4-8: A stone of mass, m 2kg is suspended from the free end of a wire that is wrapped around the outer rim of a pulley similar to what is shown in the figure. The pulley is a uniform disk with unknown moment of inertial I and its radius R = 2 cm and turns on frictionless bearings. The stone was released from rest and it travels a height, h=1 m and its velocity is found...

  • A 2.00-kg stone is tied to a thin, light wire wrapped around the outer edge of...

    A 2.00-kg stone is tied to a thin, light wire wrapped around the outer edge of the uniform 10.0-kg cylindrical pulley shown in the figure below (Figure 1). The inner diameter of the pulley is 60.0 cm, while the outer diameter is 1.00 m. The system is released from rest, and there is no friction at the axle of the pulley. (A) Find the acceleration of the stone. (m/s2 ) (B) Find the tension in the wire. (N) (C) Find...

  • A uniform hollow disk has two pieces of thin light wire wrapped around its outer rim...

    A uniform hollow disk has two pieces of thin light wire wrapped around its outer rim and is supported from the ceiling (See figure). Suddenly one of the wires breaks, and the remaining wire does not slip as the disk rolls down. The inner radius of the cylinder is 30 cm and the outer radius is 50 cm. Use energy conservation to find the speed of the center of this disk after it has fallen a distance of 2.20 m.

  • A string is wrapped around a pulley of mass M, radius R, and moment of inertial....

    A string is wrapped around a pulley of mass M, radius R, and moment of inertial. The string is attached to a mass m; the mass m is then released. Treat the pulley as if it were a uniform disk (a) Find the acceleration of the mass m as it falls. (b) How would your answer to part (a) above change if we ignore the motion of the pulley (effectively setting the mass M -0)? m

  • A weight of mass 1.03 kg is suspended by a string wrapped around a pulley wheel,...

    A weight of mass 1.03 kg is suspended by a string wrapped around a pulley wheel, which consists of a solid disk of mass 4.96 kg and radius 1.37 m. The system is released from rest. Over what vertical distance does the hanging mass move in 3.0 seconds?

  • A frictionless pulley has the shape of a uniform solid disk of mass 2.20 kg and...

    A frictionless pulley has the shape of a uniform solid disk of mass 2.20 kg and radius 10 cm. A 1.90 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (the figure (Figure 1) ), and the system is released from rest. a)How far must the stone fall so that the pulley has 6.30 J of kinetic energy? h =_____________m b)What percent of the total kinetic energy does the pulley have?...

  • A weight of mass 1.66 kg is suspended by a string wrapped around a pulley wheel,...

    A weight of mass 1.66 kg is suspended by a string wrapped around a pulley wheel, which consists of a solid disk of mass 4.03 kg and radius 0.603 m. The system is released from rest. Over what vertical distance does the hanging mass move in 3.0 seconds? Ignore friction and drag forces, and assume that the string does not slip.

  • A weight of mass 1.03 kg is suspended by a string wrapped around a pulley wheel,...

    A weight of mass 1.03 kg is suspended by a string wrapped around a pulley wheel, which consists of a solid disk of mass 4.96 kg and radius 1.37 m. The system is released from rest. Over what vertical distance does the hanging mass move in 3.0 seconds? Ignore friction and drag forces, and assume that the string does not slip.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT