An object of mass M = 13.0 kg is attached to a cord that is wrapped around a wheel of radiusr = 12.0 cm (see figure). The acceleration of the object down the frictionless incline is measured to be a = 2.00 m/s and the incline makes an angle 0 = 37.0° with the horizontal. Assume the axle of the wheel to be frictionless. M Ө (a) Determine the tension in the rope. (b) Determine the moment of inertia of the wheel. kg •m (c) Determine the angular speed of the wheel 3.50 s after it begins rotating, starting from rest. rad/s

An object of mass M = 13.0 kg is attached to a cord that is wrapped around a wheel of radiusr = 12.0 cm (see figure). The acceleration of the object down the frictionless incline is measured to be a = 2.00 m/s and the incline makes an angle 0 = 37.0° with the horizontal. Assume the axle of the wheel to be frictionless. M Ө (a) Determine the tension in the rope. (b) Determine the moment of inertia of the wheel. kg •m (c) Determine the angular speed of the wheel 3.50 s after it begins rotating, starting from rest. rad/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: In the figure, a block of mass m is moving along the horizontal frictionless surface with a speed of…

A: Given: The mass of the object is m. The initial velocity of the object is 5.7 m/s. The angle of the…

Q: A car of mass m travels around a flat, circular curve of radius r at the fastest possible speed, v =…

Q: A rigid massless rod is rotated about one end in a horizontal circle. There is a mass attached to…

Q: A 1290 kg sports car rounds a flat curve of radius 56.0 m. Given that the coefficient of static…

A: The expression for find maximum speed of the car is Ff=Fcμmg=mv2rv=μgr

Q: What is the maximum speed with which a 1200 kg car can round a turn of radius 89.0m on a flat tire…

Q: The maximum static coefficient of friction between the tires of a 2000 kg car and the road is µs,max…

A: Given data The car's mass is: m = 2000 kg The friction coefficient is: μs,max=0.25 The rotation's…

Q: A car rounds a level (unbanked) curve with a radius of 95 m without skidding at a speed of 25 m/s.…

A: Step 1:Step 2:Step 3:Step 4:

Q: Determine the minimum coefficient of static friction needed to allow a penny to sit on a rotating…

Q: A sample of blood is placed in a centrifuge of radius 17.0 cm. The mass of a red blood cell is 3.0 x…

Q: (a) v = gLees-9 (b) v = GR-ces-e (c) v = gttan-8 (d) v = gR tan-8 (e) The value of the tension force…

Q: A car travels on a horizontal road in a circle of radius 50 m. If the car can the car travel with a…

Q: A "swing" ride at a carnival consists of chairs that are swung in a circle by 18.7 m cables attached…

A: Given: Length of cable = 18.7 m Mass of chair +occupant M =294 kg

Q: 5. A truck, of mass M, that's carrying a load of mass m, is driving with constant speed v over a…

A: Solution:- A0. For object in cirecular motion;…

Q: During a hammer thrower’s practice swings, the 16-lb head A of the hammer revolves at a constant…

A: The vertical component of tension here balances the weight of the head. The horizontal component of…

Q: A small 0.250-kg object is attached to a string (see figure), where it swings in a section of a…

A: Write a given values of this question. m=0.250kgr=2.50mθ=28∘v=4.50m/s

Q: A track is built so that going around a curve (R = 65.0 m), the banking of the track will allow the…

Q: The Earth pulls on the Moon, and the Moon pulls on the Earth. However, the Earth is pulled more and…

A: Given: Distance between Earth and moon =a Radius of Earth =r a= 64 r

Q: In the figure, block 1 has mass m₁ - 470 g, block 2 has mass m₂-501 g, and the pulley is on a…

A: See below

Q: Ukg shown below, are pulley of radius gligible mass passing over and a moment of inertia I. The…

Q: A race car is making a U-turn at constant speed. The coefficient of friction between the tires and…

Q: An old streetcar rounds a flat corner of radius 6.90 m, at 12.0 km/h. What angle with the vertical…

Q: fond the magnitude of the frictional force between the tire and the track in the unit N.

Q: 1, The great swing at a country fair consists of a vertical central shaft with a number of…

Q: A 2.00X103kg car rounds a circular turn of radius20,0 m. If the road is flat and the coefficient of…

A: For no skid condition, the friction force will be equal to the centrifugal force, Ff=mv2R

Q: A model airplane of mass 0.480 kg is flying at constant speed in a horizontal circle at one end of a…

A: The mass of the model airoplane is m = 0.480 kgThe lenght of the cord is L = 33.0 mThe height is h =…

Q: A car weighing 11.1 kN and traveling at 13.7 m/s without negative lift attempts to round an unbanked…

Q: r weighing 10.9 kN and traveling at 13.6 m/s without negative lift attempts to round an unbanked…

Question

An object of mass M = 13.0 kg is attached to a cord that is wrapped around a wheel of radiusr = 12.0 cm (see figure). The acceleration of the object down the frictionless incline is measured to be a = 2.00 m/s and the incline makes an angle 0 = 37.0°
with the horizontal. Assume the axle of the wheel to be frictionless.
M
Ө
(a) Determine the tension in the rope.
(b) Determine the moment of inertia of the wheel.
kg •m
(c) Determine the angular speed of the wheel 3.50 s after it begins rotating, starting from rest.
rad/s

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

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

In the figure here three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction on its axle and negligible mass. The masses are ma = 27 kg, mg = 41 kg, and mc = 15 kg. When the assembly is released from rest, (a) what is the tension in the cord connecting B and C, and (b) how far does A move in the first 0.200 s (assuming it does not reach the pulley)? Assume the table surface frictionless. A В C (a) Number i Unit (b) Number i Unit >
=J (e) (b) Fe= () 6. A pendulum that consists of a ball (m = 1.50 kg) attached to a light cord rotates in a circular path of radius r = 0.800 m at constant speed v, as shown in Figure. Here the angle 0 = 65°, and we ignore air friction and assume the mass of the light cord is negligible. (a) Calculate the tension T in the cord. = L. (b) Calculate the centripetal force acting on the ball. = 'd (c) Calculate the velocity v of this uniform circular motion. Answers:
Please Asap
A mass (M1=5.0 kg) is connected by a light cord to another mass (M2=3.0 kg) which slides on a frictional surface (μ1 = 0.25). moreover, another mass (M3=2.0 kg) is connected by a light cord to the mass M2. The coefficient of friction between M2 and M3 is μ2 = 0.2. The two pulleys (radius= 0.1 m) are identical and can rotate about a frictionless axle. If the moment of inertia of a pulley is 0.2 kgm2, what is the acceleration of M1? Calculate the tension of each string?
In the figure, block 1 has mass m₁ - 470 g, block 2 has mass m₂ - 501 g, and the pulley is on a frictionless horizontal axle and has radius R-5.00 cm. When released from rest, block 2 falls 72.0 cm in 3.30 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T₂ (the tension force on the block 2) and (c) tension T₁ (the tension force on the block 1)? (d) What is the magnitude of the pulley's angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g -9.81 m/s². (a) Number (b) Number i (c) Number (d) Number i (e) Number i Units Units Units Units Units my 1112 <
At takeoff, a commercial jet has a 45.00 m/s speed. Its tires have a diameter of 0.400 m. (a) At how many rev/min are the tires rotating? (b) What is the centripetal acceleration at the edge of the tire? (c) With what force must a determined 1.00×10−15 kg1.00×10−15 kg bacterium cling to the rim? (d) Take the ratio of this force to the bacterium's weight.
A small car with mass 0.600 kg travels at constant speed on the inside of a track that is a vertical circle with radius 5.00 m (Figure 1 Figure B V 5.00 m K 1 of 1 If the normal force exerted by the track on the car when it is at the top of the track (point B) is 6.00 N, what is the normal force on the car when it is at the bottom of the track (point A)? Express your answer with the appropriate units. F = Submit μÀ Value Provide Feedback 6 Request Answer d C Units Neview Constalls ? Next >
A small object of mass m = 0.200 kg moves with constant speed in a horizontal circle on the end of a light string that has length / = 0.600 m, as shown in the sketch. The string makes a constant angle of 0 = 45.0° with the vertical. m path (a) What is the tension in the string? (b) What is the magnitude of the acceleration of the mass as it moves in its circular path? (c) What is the period of the motion, the time its takes the ball to complete one revolution?
A circular-motion addict of mass 81.0 kg rides a Ferris wheel around in a vertical circle of radius 14.0 m at a constant speed of 7.10 m/s. (a) What is the period of the motion? What is the magnitude of the normal force on the addict from the seat when both go through (b) the highest point of the circular path and (c) the lowest point?
An engineer wants to design an oval racetrack such that 3.20 × 10³ lb racecars can round the exactly 1000 ft radius turns at 1.00 x 102 mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h. Find the banking angle necessary for the race cars to navigate the turns at 1.00 × 10² mi/h without the aid of friction. 0 = What additional radial force F, is necessary to prevent a race car from drifting on the curve at 175 mi/h? This banking and radius are very close to the actual turn data at Daytona International Speedway, where 3.20 × 10³ lb stock cars travel around the turns at about 175 mi/h. 0 Fr= N
A 2.40 kg mass attached to the end of a massless string swings in a vertical circle with radius 5.00 m at constant speed 6.75 m/s. At the instant when the string makes an angle of 35.0 degrees with the vertical, as shown in the figure, calculate the magnitude of the force (in N) that the string exerts on the mass. Round your answer to 1 decimal place.