(a)
The acceleration of center of mass of two block cylinder string system.
(a)
Explanation of Solution
Given:
The mass of cylinder is
Formula used:
Write expression for total force on the system.
Substitute
Substitute
Calculation:
Draw free body diagram of blocks of Atwood’s machine.
Write expression for net force in block of mass
Substitute
Write expression for net force in block of mass
Substitute
Rearrange above expression for
Substitute
Substitute
Substitute
Conclusion:
Thus, the acceleration of COM is
(b)
The force exerted by the support.
(b)
Explanation of Solution
Given:
The mass of cylinder is
Formula used:
Write expression for total force on the system.
Substitute
Substitute
Write expression for force exerted by the support.
Calculation:
Draw free body diagram of blocks of Atwood’s machine.
Write expression for net force in block of mass
Substitute
Write expression for net force in block of mass
Substitute
Rearrange above expression for
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, force exerted by the support is
(c)
Tension
(c)
Explanation of Solution
Given:
Formula used:
Write expression for total force on the system.
Substitute
Substitute
Write expression for force exerted by the support.
Draw free body diagram of blocks of Atwood’s machine.
Write expression for net force in block of mass
Substitute
Write expression for net force in block of mass
Substitute
Rearrange above expression for
Substitute
Substitute
Substitute
Calculation:
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, the tension in the string is
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Chapter 5 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
- In a television commercial, a small, spherical bead of mass 4.00 g is released from rest at t=0in a bottle of liquid shampoo. The terminal speed is observed to be 2.00 cm/s. Find (a) the value of the constant bin the equation v=mgb(1ebt/m), and (b) the value of the resistive force when the bead reaches terminal speed.arrow_forwardPaleontologists estimate that if a Tyrannosaurus rex had tripped and fallen, the ground would have exerted anormal force of approximately 260,000 N on its torso as it landed.Assuming the torso has a mass of 3800 kg, (a) find the magnitudeof the torso’s upward acceleration as it comes to rest. (For comparison, humans lose consciousness with an acceleration of about 7g.)(b) Assuming the torso of a T. rex is in free fall for a distance of 1.46m as it falls to the ground, how much time is required for the torsoto come to rest once it contacts the ground?arrow_forwardA 9.00-kg hanging object is connected by a light, inextensible cord over a light, frictionless pulley to a 5.00-kg block that is sliding on a flat table (as shown). Taking the coefficient of kinetic friction as 0.200, find the tension in the string.arrow_forward
- two crates of mass 65 kg and 125 kg are in contact and at rest on a horizontal surface. a 650 N force is exerted on the 65 kg crate. if the coefficient of kinetic friction is 0.08, calculate (a) the acceleration of the system, and (b) the force that each crates exerts on the other.arrow_forwardAn adventurous archaeologist crosses between two rock cliffs, with a raging river far below, by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope. The rope will break if the tension in it exceeds 3.00 x 104 N, and our hero’s mass is 81.6 kg. If the angle that the rope makes with the cliff is 75o, find the tension in the rope. What is the smallest value the angle can have if the rope is not to break?arrow_forwardA ball of mass m1 and a block of mass m2 are attached by a lightweight cordthat passes over a frictionless pulley of negligible mass as in 5.16a.The block lies on a frictionless incline of angle θ. Find the magnitude of theacceleration of the two objects and the tension in the cord.arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University