A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m, = 2.00 kg, m, = 6.20 kg, and e = 50.5°. (a) What are the magnitude of acceleration (in m/s?) of the block and sphere? 3.33 \v m/s? (b) What is the tension (in N) in the cord? (Enter the magnitude.) 26.3 (c) What is the speed (in m/s) of each object 1.25 s after being released from rest? 4.16 v m/s (d) What If? If the incline under m, is rough, what is the minimum value of the coefficient of static friction u̟ for which the system will not move?

A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m, = 2.00 kg, m, = 6.20 kg, and e = 50.5°. (a) What are the magnitude of acceleration (in m/s?) of the block and sphere? 3.33 \v m/s? (b) What is the tension (in N) in the cord? (Enter the magnitude.) 26.3 (c) What is the speed (in m/s) of each object 1.25 s after being released from rest? 4.16 v m/s (d) What If? If the incline under m, is rough, what is the minimum value of the coefficient of static friction u̟ for which the system will not move?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 61P

See similar textbooks

Similar questions

There is a particle with mass m = 2 kg attached to a smooth wire that is positioned horizontally so that the particle can only move freely in the horizontal direction. The particle initially moves with a constant velocity V0, = 7 m/s to the right, which is then pulled by a constant force at an angle that varies with time as shown below. If the function of the angle is θ(t) = 0.2t +0.3, where is calculated in radians and t is in seconds, and the magnitude of the constant force is F = 10 N. then calculate: (Review only for 0.3≤θ≤? ) a. The time it takes for the particle to reach its maximum acceleration! b. The velocity of the particle when the force is exactly on the vertical axis!)
A 6000 N elevator from rest attains an upward velocity of 6m/s in 4 seconds with uniform acceleration. If a 400 N man is standing inside the elevator, compute the apparent weight of man and tension of the supporting cable.
What is the tension acting vertically in an a chilled of a heel, for a person standing still on horizontal ground on the ball of one foot and lifting the heel just off the ground? Take the weight of the person to be 600 N, the displacement
A block of mass m1 = 3.70 kg on a frictionless plane inclinedat angle 30.0= is connected by a cord over a massless,frictionless pulley to a second block of mass m2 2.30 kg ). What are (a) the magnitude of the acceleration of eachblock, (b) the direction of the acceleration of the hanging block,and (c) the tension in the cord?
At time t = 0 s, a motor begins to move a small elevator of mass 117 kg by unreeling a cable. The position of theelevator as a function of time is given byy(t) = yie^(−t/t0)where yi = 87 m and t0 = 1.77 s and we have defined up to be the positive y direction. What is the tension in theelevator cable at time t = 3.26 s?
Three astronauts, propelled by jet backpacks, push and guide a 123 kg asteroid toward a processing dock, exerting the forces shown in the figure, with F1 = 29 N, F2 = 50 N, F3 = 43 N, θ1 = 30°, and θ3 = 60°. What is the (a) magnitude and (b) angle (measured relative to the positive direction of the x axis in the range of (-180°, 180°]) of the asteroid's acceleration?
The three masses shown in the figure are in equilibrium and the inclined plane is frictionless.If θ = 30.7°, m2 = 2.00 kg, and m3 = 4.24 kg, determine the mass m1 and the magnitude of the tension T in the string connecting m2 and m3.
A cube of mass m1=5.4 kg is sitting on top of a second cube of the same size and mass m2=0.5 kg while both are in free fall. Ignoring any air resistance, what is the magnitude of the normal force with which the bottom cube is acting on the top cube?
The cable supporting a 2105 −kg−kg elevator has a maximum strength of 23260 N. What maximum upward acceleration can it give the elevator without breaking?
In the figure, a slab of mass m1 = 40 kg rests on a frictionless floor, and a block of mass m2 = 10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force F→ of magnitude 104 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?
The masses of the red and blue wagons are 6.09 kg and 2.63 kg, respectively. If the red wagon is pulled by 18.9 N force, the tension (N) in the cable connecting the two wagon of the system is:
A force of magnitude 7.50 N pushes three boxes with masses m1=1.30kg ,m2=3.20kg, and m3=4.90kg. Find the magnitude of the contact force between boxes 1 and 2.