Ukg shown below, are pulley of radius gligible mass passing over and a moment of inertia I. The block on the frictionless incline is moving upward with a constant acceleration of 2.01m/s² on an angle of 38.8° to the horizontal. Determine the tension T₁. Submit Answer Tries 0/10 Find the tension T₂. Submit Answer Tries 0/10 What is the moment of inertia of the pulley? Submit Answer Tries 0/10 m₁ a mo

Ukg shown below, are pulley of radius gligible mass passing over and a moment of inertia I. The block on the frictionless incline is moving upward with a constant acceleration of 2.01m/s² on an angle of 38.8° to the horizontal. Determine the tension T₁. Submit Answer Tries 0/10 Find the tension T₂. Submit Answer Tries 0/10 What is the moment of inertia of the pulley? Submit Answer Tries 0/10 m₁ a mo

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter10: Motion In A Noninertial Reference Frame

Section: Chapter Questions

Problem 10.4P

See similar textbooks

Similar questions

Hungarian Adrian Annus won the gold medal for thehammer throw at the 2004 Olympics in Athens with a winningdistance of 83.19 meters.* The event consists of swinging a16-pound weight attached to a wire 190 centimeters long ina circle and then releasing it. Assuming his release is at a 45°angle to the ground, the hammer will travel a distance ofv02/gmeters, where g = 9.8 meters/second2and v0 is the linearspeed of the hammer when released. At what rate (rpm) washe swinging the hammer upon release?
Consider the Atwood machine, where two masses m1 = 12.6 kg and m2 = 4.2 kg are connected by an ideal wire that passes through a pulley of mass M = E of radius R = 0.15 m. The pulley is attached, but can rotate freely around its axis of symmetry. As shown in the Figure below, at the initial instant the mass m1 is at a height h= 3.29 m in relation to m2. Knowing that the system starts from rest, and that the magnitude of the linear velocity of m1 when the masses pass through the same vertical position is v=3.31 m/s, what is the mass M of the pulley? Here, assume the acceleration due to gravity as g=10 m/s², the pulley moment of inertia as I=MR2 and, finally, that the wire does not slide on the pulley. Choose one: a. 4,2 kg b. 14,7 kg c. 10,5 kg d. 6,3 kg e. 12,6 kg f. 16,8 kg g. 8,4 kg h. None of the other alternatives.
Consider a disc of mass 0.44kg, with radius 0.5 m on a slope with angle 45 degrees to the horizontal. It has a good grip on the slope and does not slip. The disc is constructed so that its mass per unit area, ρ(r) = r1/2 kg m−2, with r being the radial distance in metres from the axis of the disc. What is the acceleration of the disc down the slope?
A pendulum consists of a smallobject called a bob hanging froma light cord of fixed length, withthe top end of the cord fixed, asrepresented in Figure CQ7.5. Thebob moves without friction, swingingequally high on both sides. Itmoves from its turning point Athrough point B and reaches itsmaximum speed at point C. (a) Atwhat point does the bob have nonzeroradial acceleration and zero tangential acceleration?What is the direction of its total acceleration at this point?(b) At what point does the bob have nonzero tangentialacceleration and zero radial acceleration? What is thedirection of its total acceleration at this point? (c) At whatpoint does the bob have both nonzero tangential and radialacceleration? What is the direction of its total accelerationat this point?
Find the required angular speed, ω, of an ultracentrifuge for the radial acceleration of a point 1.40 cm from the axis to equal 6.00×105 g (where g is the free-fall acceleration).Express your answer numerically in revolutions per minute.
The magnitudes of the three forces are F1 = 1.6kN,F2 = 1.2kN and F3= 1.0kN. Compute their resulatant in the form (a) R=Rxi + Ryj+Rzkl and (b) R=Rλ
A point moves with deceleration along the circle of radius R so that at any moment of time its tangential and normal accelerations are equal in moduli. At the initial moment, t =0 the velocity of the point equals . Find: the velocity of the point as a function of time and as a function of the distance covered s.
Consider that the car is making a flat circular curve with radius R = 230 m. Knowing that the friction coefficient between the tires and the road is = 0.960, determine the maximum speed with which the car can turn without sliding. Adopt: g = 10.0 m / s ^ 2.
A puck of mass m=180g on a horizontal, frictionless table is connected to a string that passes through a small hole in the table, as shown in the following figure (attached) The puck is set into circular motion of radius R=50cm with a speed vi = 2.2 m/s. If the string is then pulled from the bottom as shown, so that the radius of the circular path is decreased to r=20cm, what is the final speed, vf, of the puck?
One end of a cord is fixed and a small 0.500-kg object is attached to theother end, where it swings in a section of a vertical circle of radius 2.00 m as shown. When θ = 20.0°, the speed of the object is 8.00 m/s. At this instant, find (a) the tension in the string, (b) the tangential and radial components of acceleration, and (c) the total acceleration. (d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? (e) Explain your answer to part (d).
If you were to stop a spinning wheel with a constant force, where on the wheel would you apply the force to produce the maximum negative acceleration?
A body of mass 8 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 10 seconds. At the time t=0, the body is at the rightmost point of the circle.A. Compute the centripetal force acting on the body at time t.⟨, ⟩B. Compute the magnitude of that force. HINT. Start with finding the angular velocity w [rad/s] of the body (the rate of change of its polar angle w.r.t. the center of rotation).Then find the position vector r→(t) of the body at time t.Then find its acceleration vector a→(t) at time t.Then use Newton's 2nd law to find the centripetal force F→(t).