Answered: Find the moment of inertia about the…

Find the moment of inertia about the y-axis of the two wires shown in the adjacent figure if their mass is m and discuss the following cases 1) a=0 2) b=0 or e=0 3) a=b=0 4) e >> c, b >> a c=0

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 66P: Find the moment of inertia of the rod in the previous problem by direct integration.

See similar textbooks

Related questions

Q: The table that follows lists four pairs of initial and final angles of a wheel on a moving car. The…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A potter's wheel having a radius 0.49 m and a moment of inertia of 12.6 kg · m2 is rotating freely…

A: The angular acceleration,

Q: Two men exert forces of P = 50lb and F %3D = 80 lb on the ropes. Determine the moment of each force…

Q: A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The…

A: Moment of inertia of rod = M (L/2)2 Moment of inertia = 0.141 kgm2 α = 6.47/8.27 = 0.7823 Torque of…

Q: Find the moment of inertia of a 5 kg sphere with a radius of 10 cm, rotated about an axis that is…

Q: A 1.8 kg uniform rod with a length of 90 cm is attached at one end to a frictionless pivot. It is…

Q: Find the moment of inertia of a hoop with a radius of 0.5 m and a mass of 0.5 kg when rotated about…

A: Given data: A hoop Radius (R) = 0.5 m Mass (M) = 0.5 kg Required: The moment of inertia (I)

Q: A window cleaner is pulling himself up to a pulley that consists of two disks welded together as…

A: Given Magnitude of net force acting on the person = 562 N Mass of the person = 82.5 kg Pulley's…

Q: A mass m, is connected by a light string that passes over a pulley of mass M to a mass m2 as shown…

Q: Four identical masses of 2 kg each are situated at the four corner of the square. A side of the…

Q: What is the maximum moment of inertia?

A: Moment of inertia :- Mass moment of inertial of a rigid body is a quantity that determines the…

Q: A turntable with a moment of inertia of 1260 kg m^2 and a radius of 2.5 m rotates frictionlessly…

A: GivenI1= 1260 kgm2R = 2.5 mmass of person m = ?Angular velocity of table w1 = 1.7 rad sAngular…

Q: R 2h

A: heavier mass = m1Lighter mass = m2Initial seperation between two masses = 2hMoment of inertia of…

Q: Find the tension in the lower (slack) segment of the belt.

A: The equation for torque can be given as The moment of inertia of the flywheel can be given as The…

Q: find the moment of inertia of a uniform rod of mass m having length '2a' about a line through its…

Q: COMPUTE THE MOMENTS OF INERTIA AND RADII OF GYRATION WITH RESPECT TO BOTH CENTROIDAL AXES OF THE…

Q: A counterweight of mass m is attached to a light cord that is wound around a pulley as shown in the…

Q: A potter's wheel having a radius 0.54 m and a moment of inertia of 13.6 kg · m2 is rotating freely…

Q: The top in the figure below has a moment of inertia of 4.00 10-4 kg · m2 and is initially at rest.…

Q: A 1.20-m-long aluminium rod is pivoted about its centre. The rod has a mass (distributed uniformly)…

Q: An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a…

A: The given values are, M=81.0 kgR=0.625 mr=0.230 mTu=142 Nα=1.67 rad/s2I=12MR2=1281.0 kg0.625…

Q: Find the moment of inertia of a solid cylinder of mass 3.0 kg and radius 0.50 m, which is free to…

Q: What are the types of Moment of Inertia?

A: There are a total of three types of Moment of inertia, which are : Mass moment of inertia It is…

Q: What is the net torque of the bar shown in figure below about the axis Indi by the 10 N 30° 1 m 4 m…

Q: A gym barbell has two metal plates on each end with a mass of 10 kg and a diameter of 0.40m. The…

A: Idisc= MR2/4 with axis parallel to the disc R is the radius of disc

Q: Give three types of moment of inertia

A: Mass moment of inertia - Mass moment of inertia is defined as the resistance offered by the body to…

Q: Find the moment of inertia of a disk about a point on its outer edge .it has a mass of 7.41kg and a…

A: In rotational motion, the moment of inertia measures the extent to which an object resists…

Q: Homework Q7.

A: Here, m₁ and T₁ are zero. The acceleration of the system is,

Q: A meterstick is set on the edge of a table so that all but a negligible bit of its length is off the…

Q: A light rope is wrapped around a wheel of radius R= 2.5 m and moment of inertia 13.0 kg-m2. The rope…

A: We have to the tension T in the rope and what is the angular acceleration of the wheel.

Q: Three point masses are held in place by massless rods. The system lies on a horizontal plane and…

A: Moment of inertia of a point mass rotating at a certain radius is given by I = mR2, where m= mass R…

Q: Two wheels of moment of inertia 9.8 kg.nf and 7.8 kg.nf are set in rotation with angular speed 2.9…

Q: A mass m1 is connected by a light string that passes over a pulley of mass M to a mass m2 sliding on…

Q: Determine the polar moment of inertia of the area shown with respect to (a) point O, (b) the…

A: Given Determine the polar moment of inertia of the area shown with respect to (a) point O, (b) the…

Q: This problem describes one experimental method for determining the moment of inertia of an…

Q: In a playground, there is a small merry-go-round of radius 1.20 m and mass 180 kg. Its radius of…

A: a) The rotational inertia of the merry-go-round is given by, Thus,

Q: A uniform rod, shown in figure 1, is released from rest. It makes an initial angle of 0-40° above…

Q: The baton consists of a metal ball of mass .45 kg and diameter .15m at each end of a slim rod. The…

A: Metal ball of mass 0.45kg , diameter 0.15m Length of the rod is 0.7m

Q: Find the moment of inertia about the y-axis of the two wires shown in the adjacent figure if their…

Q: A potter's wheel having a radius 0.48 m and a moment of inertia of 10.5 kg · m2 is rotating freely…

Q: Two men exert forces of P = 50lb and F = 80 %3D Ib on the ropes. Determine the moment of each force…

A: Solutuon: Given that P = 50 lb F = 80 lb

Q: A pulley of moment of inertia 2.1 kg - m² is mounted on a wall as shown in the following figure.…

A: Given that: Moment of inertia of the pulley: I=2.1 kg-m2Outer radius: r1=55 cm=0.55 mInner radius:…

Q: A mass m1 (3.0 kg) is connected by a light string that passes over a pulley of mass M( 4.0 kg) to a…

A: Given, m1=3.0 kg M=4.0 kg m2 =2.0 kg Tension due to mass m1 , T1=m1g+m1a.............(1) Tension due…

Q: respect to the origin at t = 1 sec i D. 10 C. 8 E. 12 Q.20: in the adjacent figure, a very light…

Q: A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The…

Q: A war-wolf or trebuchet is a device used during the Middle Ages to throw rocks at castles and now…

A: It is given that, d=2.90 mm1=0.105 kgm2=61 kgr2=13 cm

Q: A meterstick is set on the edge of a table so that all but a negligible bit of its length is off the…

A: Given Information: The mass of the meter stick = M The length of the meter stick = L The rotational…

Question

None

Find the moment of inertia about the y-axis of the two wires shown in the adjacent figure if
their mass is m and discuss the following cases
4) e >> c, b > a
1) a=0
c=0
2) b=0 or e=0
3) a=b=0

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Calculate the moment of inertia by direct integration of a thin rod of mass M and length L about an axis through the rod L/3 , as shown below. Check your answer with the parallel-axis theorem.
Using the parallel axis theorem, what is the moment of inertia of the rod of mass m about the axis shown below?
A pulley of moment of inertia 2.0kgm2 is mounted on a wall as shown in the following figure. Light strings are wrapped around two circumferences of the pulley and weights are attached. What are (a) the angular acceleration of the pulley and (b) the linear acceleration of the weights? Assume the following data: r1=50cm , r2=20cm , m1=1.0kg , m2=2.0kg
Starting with the formula for the moment of inertia of a rod rotated around an axis through one end perpendicular to its length (I=Ml2/3) , prove that the moment of inertia of a rod rotated about an axis through its center perpendicular to its length is I=Ml2/12 . You will find the graphics in Figure 10.12 useful in visualizing these rotations.
Does increasing the number of blades on a propeller increase or decrease its moment of inertia, and why?
Check Your Understanding What is the moment of inertia of a cylinder of radius R and mass m about an axis through a point on the surface, as shown below? A uniform thin disk about an axis through the center Integrating to find the moment of inertia of a two-dimensional object is a little bit trickier, but one shape is commonly done at this level of study—a uniform thin disk about an axis through its center (Figure 10.27). Figure 10.27 Calculating the moment of inertia for a thin disk about an axis through its center.
A rigid body with a cylindrical cross-section is released from the top of a 30 incline. It rolls 10.0 m to the bottom in 2.60 s. Find the moment of inertia of the body In terms of its mass m and radius r.
Which of the entries in Table 10.2 applies to finding the moment of inertia (a) of a long, straight sewer pipe rotating about its axis of symmetry? (b) Of an embroidery hoop rotating about an axis through its center and perpendicular to its plane? (c) Of a uniform door turning on its hinges? (d) Of a coin turning about an axis through its center and perpendicular to its faces?
The moment of inertia of a long rod spun around an axis through one end perpendicular to its length is mL2/3 . Why is this moment of inertia greater than it would be if you spun a point mass m at the location of the center of mass of the rod (at L/2 ) (that would be mL2/4 )?
Eight children each of mass 40 kg, climb on a small merry-go-round. They position themselves evenly on the outer edge and join hands. The merry-go-round has a radius of 4.0 m and a moment of inertia 1000.0kgm2 . After the merry-go-round is given an angular velocity of 6.0 rev/min, the children walk inward and stop when they are 0.75 m from the axis of rotation. What is the new angular velocity of the merry-go-round? Assume there Is negligible frictional torque on the structure.
A cylinder with moment of inertia I1 rotates with angular velocity 0 about a frictionless vertical axle. A second cylinder, with moment of inertia I2, initially not. rotating, drops onto the first cylinder (Fig. P8.73). Because the surfaces are rough, the two cylinders eventually reach the same angular speed . (a) Calculate . (b) Show that kinetic energy is lost in this situation, and calculate the ratio of the final lo the initial kinetic energy. Figure P8.73
A top has moment of inertia 3.2104kgm2 and radius 4.0 cm from the center of mass to the pivot point. If it spins at 20.0 rev/s and is precessing, how many revolutions does it precess in 10.0 s?