A block (mass-12 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia-1.4 x 10³ kg-m²), as the figure shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.038 m during the block's descent. Find (a) the angular acceleration of the pulley and (b) the tension in the cord. (a) Number (b) Number Units Units
Q: You turn off your electric drill and find that the time interval for the rotating bit to come to…
A: Given data: The time interval for the rotating bit to come to rest due to frictional torque is ∆t.…
Q: A block (mass = 1.2 kg) is hanging from a massless cord that is wrapped around a pulley (moment of…
A: Mass of the block,m=1.2 kg Moment of inertia,I=1.5×10-3 kg.m2 the radius of cord,R=0.042 m
Q: A small 0.220-kg object moves on a frictionless horizontal table in a circular path of radius 4.80…
A: Given data: The object's mass is m=0.220 kg The radius, ri=4.80 m The angular speed is ωi=3.02…
Q: In outer space two space modules are joined together by a massless cable. These probes are rotating…
A: Given data The initial tangential speed is vo=11.6 m/s The distance factor reduces by f=5 The…
Q: A block (mass = 1.9 kg) is hanging from a massless cord that is wrapped around a pulley (moment of…
A: Given Mass of the block = 1.9 kg Moment of Inertia of the pulley = 1.2 x 10-3 kg.m3 Radius of the…
Q: A block (mass = 2.2 kg) is hanging from a massless cord that is wrapped around a pulley (moment of…
A: Mass(m) = 2.2 kg Moment of inertia = 1.9 x 10-3 kg·m2 Radius = 0.047 m
Q: A block (mass = 2.7 kg) is hanging from a massless cord that is wrapped around a pulley (moment of…
A: Analyze the FBD of the system. Note: Consider the upward direction to be positive and the downward…
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 string is wrapped around a disk of mass m = 1.9 kg and radius R = 35 m, which is fixed to an axle…
A: IT IS KNOWN THAT ζ =Iα where, ζ = torqueI = moment of inertiaα= angular acceleration given that, I…
Q: A block (mass = 1.1 kg) is hanging from a massless cord that is wrapped around a pulley (moment of…
A:
Q: A block of mass M = 5.50 kg is connected by a string to a frictionless pulley or radius r = 0.330 m…
A:
Q: A block (mass = 1.5 kg) is hanging from a massless cord that is wrapped around a pulley (moment of…
A:
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: w = 0 v = 0 The block of mass m=4.30 kg is attached to a light string around a pulley, as shown in…
A: Write the equation for the torque. TorqueT=MOI×Angular acceleration αT=Iα…
Q: As shown in the figure, a disk of mass m = 200 grams is placed on a rotating turntable so that the…
A: According to question--- Given data -- Mass of disk (m)= 200 g. Radius of disk = 70 cm. Hanging…
Q: A small 0.210-kg object moves on a frictionless horizontal table in a circular path of radius 3.30…
A: The object's mass is m=0.210 kg The radius, ri=3.30 m The angular speed is ωi=4.66 rad/s The…
Q: a frictionless surface. The axle has a radius of ?=3.21 mm. Two strings are wrapped around the axle,…
A:
Q: A gyroscope has a 0.9 kg disk that spins around its axis of symmetry at 32 rev/s. The center of mass…
A: According to question--- Given that--- mass = 0.9 kg. Angular frequency = 32 rev /sec. R = 18 cm.…
Q: A student sits on a rotating stool holding two 28-kg objects. When his arms are extended…
A:
Q: You are pulling on a rope attached to the outer radius of a pulley with a moment of inertia I=8.34…
A: The acceleration of the pack is upward direction, the tension force in the in pack is upward…
Q: You are pulling on a rope attached to the outer radius of a pulley with a moment of inertia I=3.88…
A:
Q: You are pulling on a rope attached to the outer radius of a pulley with a moment of inertia I=2.97…
A:
Q: A 0.200 kg meterstick is hinged at one end and connected to a wall. It is held horizontally (i.e.,…
A:
Q: A student sits on a rotating stool holding two 3 kg objects. When his arms are extended…
A:
Q: A block of mass 0.74 kg is suspended by a string which is wrapped so that it is at a radius of 0.069…
A:
Q: The crane shown in the figure is lifting a 177-kg crate upward with an acceleration of 4.41 m/s².…
A:
Q: Question 1. Calculate theoretical values for the moment ofinertia of the discs. Consider the rolling…
A:
Q: A 0.700 kg ball is on the end of a rope that is 1.50 m in length. The ball and rope are attached to…
A:
Q: A pulley in the shape of a solid cylinder of mass 1.50 kg and radius 0.240 m is free to rotate…
A: moment of inertia of pulley is I=MR22=0.0432
Q: A uniform, solid, 100-kg cylinder with a diameter of 1.0 m is mounted so it is free to rotate about…
A:
Q: (mass puney 7, as the ure shows. Initially the pulley is prevented from rotating and the block is…
A: Mass of block = m = 1.2 kgMoment of inertia = I = 1.1 x 10-3 kg - m2radius = r = 0.03 m
Q: object moves on a frictionless horizontal table in a circular path of radius 2.90 m. The angular…
A: Given: Mass of object is m=0.360 kg Initial radius of circular path is ri=2.90 m Initial angular…
Q: What is the moment of inertia about an axis perpendicular to the paper and through the center of…
A:
Q: A m 1 = 24-kg object and a m 2 = 5-kg object are suspended, joined by a cord that passes over a…
A:
Q: Basketballs are basically hollow spheres with moment of inertia 2/3 MR?. One basketball has diameter…
A:
Q: A 12.0-kg mass is located at the 4.0 mi + 3.5 m j + 3.0 m k. A 5.0-kg mass is located at -5.0 mi +…
A:
Q: A block (mass = 1.8 kg) is hanging from a massless cord that is wrapped around a pulley (moment of…
A: Visualize the Problem:
Q: You are pulling on a rope attached to the outer radius of a pulley with a moment of inertia I=2.61…
A: The moment of inertia,The magnitude of the tension force on the pulley,The mass added to the pulley,
Q: A homogeneous pulley with two grooves consists of two wheels which turn together as one around the…
A: We are given pulley. 2 masses are hung opposite sides. We apply laws of motion to find angular…
Q: After all the metal has unwound from the roller, the student measures the radius R and the angular…
A: Part (f) Basic Details According to the law of conservation of linear momentum, the momentum of the…
Q: Disk 1 Disk 2
A: use the conservation f angular momentum we have to solve the question
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
- A block (mass = 1.1 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.2 x 10-3 kg-m2), as the figure shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.042 m during the block's descent. Find (a) the angular acceleration of the pulley and (b) the tension in the cord. %3D (a) Number i Units | 0 (b) Number i Units >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 small 0.360-kg object moves on a frictionless horizontal table in a circular path of radius 3.00 m. The angular speed is 4.97 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 160 N, what is the radius of the smallest possible circle on which the object can move?
- A disk has a moment of inertia of 2.50 x 10² kg-m² and spins on a frictionless axis through its center at an initial angular speed of 22.2 rad/s. A ring, initially not rotating, of mass 0.250 kg and radius 0.200 m, is dropped vertically onto the disk and sticks so that the combination rotates about a common axis, through their centers. What is the new angular speed of the system? Note: Iring = MR². O 23.8 rad/s O 22.2 rad/s ) 15.9 rad/s 14.8 rad/s 55.5 rad/sA student gives a steady push to a ball at the end of a massless, rigid rod for 1 s, causing the ball to rotate clockwise in a horizontal circle as shown below. The rod’s pivot is frictionless. Sketch a graph of the ball’s angular velocity as a function of time for the first 3 s of the ball’s motion. You won’t be able to include numbers on the vertical axis, but your graph should have the correct sign and the correct shapeProblem 2: A pulley consists of a large disk of radius R and a small disk of radius r that are welded together and mounted on a horizontal frictionless axle through their common centers. The moment of inertia of this pulley is I. A box containing a turkey of mass M is suspended from a rope wound around the large disk; a box containing a pumpkin of mass m is suspended from a rope wound around the small disk. The ropes do not slip on the disks. The system is released from rest and the turkey begins to descend, while the pumpkin is being lifted up. M P A Derive an expression for the magnitude of the angular acceleration a of the pulley, in terms of system parameters. Assume that a counterclockwise motion of the pulley is the positive direction. MgR+mgR MgR-mgr MgR-mgR a a = a = I+MR2+mr2 I+MR²+mr² I+MR²+mR? MgR+mgr MgR-mgR MgR+mgR a = a = I+MR2+mr²2 I+MR²+mr² I+MR²+mR? Submit I give up! Hint Feedback
- A pulley with moment of inertia I = 0.75 kg-m² and radius R = 15 cm is mounted on a wall. A light string is wrapped around the pulley with a mass m = 2.0 kg attached to the end. The pulley rotates as the mass falls. Use Newton's second law to calculate the acceleration of the mass. Check that your formula gives the expected behavior when I →0. => To help get started, the free body diagrams m and the pulley is shown below. T m Write down Newton's second law for each diagram. Use (and explain) the relationship R a = RO TIL R TA block (mass = 1.7 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.6 x 10-3 kg·m2), as the figure shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.042 m during the block's descent. Find (a) the angular acceleration of the pulley and (b) the tension in the cord.A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg · m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?
- A thin rod has a length of 0.900 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.607 rad/s and a moment of inertia of 1.06 x 10-3 kg-m². A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod? Number i UnitsA 0.45 kg tetherball is attached to a pole and rotating in a horizontal circle of radius r₁ = 1.4 m and is circling at angular speed = 1.42 rad/s. As the rope wraps around the pole the radius of the circle shortens and became r2 = 0.9 m, that decreases the moment of inertia of the rotating tetherball. What is the moment of inertia of the rotating ball before the rope is wrapped around the pole measured in kgm² (answer with 3 decimal places)?A child jumps to the edge of a carousel, that is in the shape of a circular plate with a radius of 1.3 m and was rotating at an angular velocity of 1.2 s-1 before the chuld jumped on it. The weight of the carousels is 80 kg, the weight of the child is 22 kg. What is their angular velocity after the jump? Later, the child moves closer to the center of the carousel plate by 80 cm. What is the new angular velocity?