In the figure below, a pivot is at the middle of the bar.The mass of the bar is 1 kg and length is 1.5 m. A mass m = 2kg g is placed 20 cm right of the pivot and the mass mg = 2kg g is placed 60 cm left of the pivot. The system starts to rotate from horizontal position as shown (a) Calculate the total moment of inertia of the system about the pivot. (b)Calculate the angular acceleration of the system around the pivot when the meter stick is 30 °below the horizontal. m. m2
Q: Find the torque needed to accelerate the object in the figure to an angular velocity of 20 radians…
A: Let the mass of the large sphere be m1 and that of the smaller sphere be m2. Consider the given data…
Q: An oversized yo-yo is made from two identical solid disks each of mass M = 1.90 kg and radius R =…
A: The moment of inertia of the system is 0.0194219 kg.m²
Q: A solid circular disk has a mass of 4.61 kg and a radius of 0.129 m. Each of three identical thin…
A: Given data *The mass of the circular disk is M = 4.61 kg *The given radius is r = 0.129 m *The mass…
Q: You are given a thin rod of mass 1.00 kg and length 1.00 meter. What is the moment of inertia of the…
A:
Q: A wheel of mass 1Kg and a radius of 0.5 meters is initially at rest. A constant torque of 6 Nm is…
A:
Q: A sphere with a diameter of 8.95 cm and mass of 460 g is released from rest at the top of a 3.30 m,…
A: Given: The diameter is d=8.95 cm The mass is M=460 g=0.46 kg The height is h=3.30 m The angle is…
Q: A typical propeller of a turbine used to generate electricity from the wind consists of three blades…
A: Given: Length of blade L=30 m Mass of blade m=400 Kg Angular speed w= 28 rev/min To find: a) Angular…
Q: A student sits on a rotating stool holding two 3.3-kg objects. When his arms are extended…
A: mass of object = 3.3 kg d1 = 1 m ω1 = 0.75 rad/secmoment of inertia of student plus stool (I) = 3…
Q: A student sits on a rotating stool holding two 3.9-kg objects. When his arms are extended…
A: Given: The mass of each object is 3.9 kg. The initial distance of the object from the center of the…
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:
Q: A mass m, is connected by a light string that passes over a pulley of mass M to a mass m2 as shown…
A:
Q: A gyroscope has a mass of 0.7 kg, with a moment of inertia of 0.109 kg m². The weight of the…
A: The objective of this issue is to calculate a gyroscope's angular velocity, or rate of spin. The…
Q: The figure shows a meter stick, which can pivot about an axis indicated by the black dot (at 25 cm).…
A: The net torque acting on the system is, ∑τ=IαF1R1+F2R2cosθ=Iαα=F1R1+F2R2cosθI
Q: A student sits on a rotating stool holding two 28-kg objects. When his arms are extended…
A:
Q: uniform thin rod of mass ?=3.57 kgM=3.57 kg pivots about an axis through its center and…
A: Given Mass of rod M=3.57 kg Mass of small bodies m= 0.235 kg Moment of inertia of system = 0.985 kg…
Q: What is the angular speed (in rad/s) of the rod and ball? What is the linear speed (in m/s) of the…
A: According to the conservation of energy, the initial energy of the system can be written as…
Q: In the figure here, a cylinder having a mass of 5.0 kg can rotate about its central axis through…
A:
Q: The object represented in the figure below is made up of two solid spheres connected by a string of…
A:
Q: In the figure here, a cylinder having a mass of 2.3 kg can rotate about its central axis through…
A: Given, mass of the cylinder, m=2.3 kgForces applied,F1 = 3.4 N, F2 = 5.5 N, F3 = 4.1 N and F4 =7.1…
Q: A student sits on a rotating stool holding two 2.0 kg objects. When his arms are extended…
A: This problem is based upon “Rigid body dynamics”. Let's solve this problem by using law of…
Q: In the figure here, a cylinder having a mass of 4.9 kg can rotate about its central axis through…
A: Cylinder rotate about its central axis passing through point O. Mass of cylinder Radius of cylinder:…
Q: A merry-go-round has a radius of 2.0 m and a moment of inertia 300 kg · m² /s. A boy of mass 50 kg…
A:
Q: A skater has a moment of inertia of 120 kg/m ² when his arms are outstretched and a moment of…
A:
Q: A student sits on a rotating stool holding two 3 kg objects. When his arms are extended…
A:
Q: In the figure, a 6.09 g bullet is fired into a 0.650 kg block attached to the end of a 0.129 m…
A: Solution. (a). The rotational inertia or the moment of inertia of the bullet-block-rod system is the…
Q: An uniform rod of length 1.2m and mass 8.7kg is pivoted freely at one end. The rod is initially in…
A:
Q: Moment of Inertia of Point Masses Five masses (each with m = 20 g) are fixed to a light rod of…
A:
Q: A solid circular disk has a mass of 1.2 kg and a radius of 0.14 m. Each of three identical thin rods…
A:
Q: Suppose an ice skater, such as the one shown, is spinning at 0.800 rev/ s with her arms extended.…
A: a. According to the conservation of angular momentum,
Q: An oversized yo-yo is made from two identical solid disks each of mass M = 1.60 kg and radius R =9.0…
A: Given that,Mass of solid disk (M) = 1.60 kgRadius (R) = 9 cmThe radius of solid cylinder (r) = 4…
Q: In the figure, wheel A of radius rA = 5.17 cm is coupled by belt B to wheel C of radius rc = 23.2…
A:
Q: A student sits on a freely rotating stool holding two dumbbells, each of mass 2.92 kg (see figure…
A:
Q: In the figure, a 7.42 g bullet is fıred into a 0.531 kg block attached to the end of a 0.914 m…
A: Mass of bullet =7.42g Mass block= 0.531kg Length of rod= 0.914m Mass of rod=0.909kg Moment of…
Q: A gyroscope has a disk of mass mm and radius of 31 cm that spins at 34 rev/s. The center of mass of…
A: Write the expression for the moment of inertia of the disk. I=12MR2
Q: Basketballs are basically hollow spheres with moment of inertia 2/3 MR?. One basketball has diameter…
A:
Q: Suppose the moment of inertia of an ice skater is 0.80 kg·m2 when her arms and legs are pulled in,…
A:
Q: In the figure here, a cylinder having a mass of 2.0 kg can rotate about its central axis through…
A:
Q: The mechanism shown in is used to raise a crate of supplies from a ship's hold. The crate has otal…
A:
Q: Let's model an airplane propeller as 3, 0.20 m long thin rods of mass 0.040 kg. Calculate the…
A: The expression for the required moment of inertia about an axis at the end is,
Q: (a) In the figure below, wheel A of radius rA = 10 cm is co = B to wheel C of radius rc 25 cm. The…
A:
Q: A solid circular disk has a mass of 3.75 kg and a radius of 0.379 m. Each of three identical thin…
A: Given data: Mass of the circular disk M=3.75 kg Radius of the circular disk R=0.379 m Mass of the…
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
- A rigid body with a cylindrical cross-section is released from the top of a 31° incline. It rolls 13.0 m to the bottom in 3.13 s. Find the moment of inertia of the body in terms of its mass m and radius r. (Assume I is in kg · m2, m is in kilograms, and r is in meters. Do not include units in your answer.)A solid ball of mass M, radius R (moment of inertia =(2/5) MR2) starts from rest at a height of 8.00 m and rolls down a 30.0° incline without slipping, as shown in the figure below. When the ball leaves the incline, its linear/translational speed isThe wheel of radius R shown below consists of a hoop of massm and two thin rods, each of mass M. Calculate the moment of inertia of the wheel about an axis going through its center, perpendicular to the plane of the hoop, for the values listed below. Express your answer in kg m2 to three significant figures. R= 2.28 m m = 0.372 kg M= 0.288 kg
- A student sits on a freely rotating stool holding two dumbbells, each of mass 2.93 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 1,09 m from the axis of rotation and the student rotates with an angular speed of 0.745 rad/s. The moment of inertia of the student plus stool is 2.64 kg m² and is assumed to be constant. The student puls the dumbbells inward horizontally to a position 0.307 m from the rotation axis (Figure b) 1 (a) Find the new anguler speed of the student. rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Koefore Kate"Four particles with masses 7 kg, 2 kg, 7 kg, and 4 kg are connected by rigid rods of neg- ligible mass as shown. Aassume the system. rotates in the xy plane about the z axis (ori- gin, O) with an angular speed of 6 rad/s. 7 kg y A 4 kg 2 kg 6 rad/s 7 kg Т 5 m Find the moment of inertia of the system about the z axis. Answer in units of kg. m². Your response... Previous Responses X #1.490 PALETTEA student sits on a rotating stool holding two 2.7-kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is 3.0 kg · m2 and is assumed to be constant. The student then pulls in the objects horizontally to 0.38 m from the rotation axis. (a) Find the new angular speed of the student. rad/s 1.677 (correct)(b) Find the kinetic energy of the student before and after the objects are pulled in. before ?? after ???
- In the figure, a 5.03 g bullet is fired into a 0.539 kg block attached to the end of a 0.878 m nonuniform rod of mass 0.846 kg. The block-rod-bullet system then rotates in the plane of the figure, about a fixed axis at A. The rotational inertia of the rod alone about A is 0.0330 kg-m?. Treat the block as a particle. (a) What then is the rotational inertia of the block-rod-bullet system about point A? (b) If the angular speed of the system about A just after impact is 3.01 rad/s, what is the bullet's speed just before impact? Rod ISlock lullet (a) Number Units (b) Number UnitsThe triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 1559 N with an effective perpendicular lever arm of 3.25 cm, producing an angular acceleration of the forearm of 110.0 rad / s?. What is the moment of inertia of the boxer's forearm? moment of inertia: kg m?A 1.0- kg mass is attached to a string wrapped around a shaft of negligible mass and having a 8.0- cm radius. A dumbbell-shaped "flywheel" made from two 0.500- kg masses is attached to one end of the shaft and perpendicular to its axis (see the figure). The mass is released from rest and allowed to fall 0.9 m to the floor. It reaches a speed of 1.4361 m/s just before striking the floor. How far apart are the masses of the dumbbell?
- A rope with a negligible mass has two blocks that are suspended over a pulley, m, and M, as shown in the image. The pulley can be considered as a uniform solid cylindrical disk. What is the equation for the net torque on the disc? Assume acceleration of blocks are a=(1/2)(9.8m/s2). What is the moment of inertia for this shape? (using the net torque equation from the above question, substitute the moment of inertia) The angular acceleration is correlated to the linear acceleration as α=r. Make the substitution into the torque equation in order to get the equation in terms of acceleration, α only.A uniform thin rod of mass ?=3.47 kg pivots about an axis through its center and perpendicular to its length. Two small bodies, each of mass ?=0.277 kg, are attached to the ends of the rod. What must the length ? of the rod be so that the moment of inertia of the three-body system with respect to the described axis is ?=0.987 kg·m2 ?You stand on a frictional platform that is rotating at 1.6 rev/s. Your arms are outstretched, and you hold a heavy weight in each hand. The moment of inertia of you, the extended weights, and the platform is 7.9 kg · m2. When you pull the weights in toward your body, the moment of inertia decreases to 3.7 kg · m2. (a) What is the resulting angular speed of the platform?(b) What is the change in kinetic energy of the system?(c) Where did this increase in energy come from? (Select all that apply.) -your internal energy -gravity -kinetic energy of the platform -mass of the weights -air resistance