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Chapter 7: Q. 34 (page 179)

The two blocks in FIGURE $P 7.34$ are sliding down the incline. What is the tension in the massless string?

Short Answer

Expert verified

Tension in the massless string is $0.613 N$ .

Step by step solution

01

Given information

Mass of the block, $m_{1} = 1 k g$

The coefficient of kinetic energy, $μ_{k} = 0.2$

Mass of the block, $m_{2} = 2 k g$

The coefficient of kinetic energy, $μ_{k} = 0.1$

02

Explanation

Consider the equilibrium of force of $1 k g$ block in the direction of the plane

$F_{1} = 1 \times 9.81 \sin 20 - 0.2 \times 1 \times 9.81 \cos 20 + T$

Consider the equilibrium of force of $2 k g$ block in the direction of the plane

$F_{2} = 2 \times 9.81 \sin 20 - 0.1 \times 2 \times 9.81 \cos 20 - T m_{2} a = 4.86 N - T \frac{T + 1.51}{1} \times 2 = 4.86 - T T = 0.613 N$

Tension in the massless string is $0.613 N$ .

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Most popular questions from this chapter

The $10.2 k g$ block in FIGURE $P 7.37$ is held in place by a force applied to a rope passing over two massless, frictionless pulleys. Find the tensions $T_{1} t o T_{5}$ and the magnitude of force $\vec{F}$ .

A $2.0 k g$ rope hangs from the ceiling. What is the tension at the midpoint of the rope?

The hand in the figure is pushing on the back of block A. Blocks A and B, with $m_{b} > m_{a}$ are connected by a massless string and slide on a frictionless surface. Is the force of the string on B larger than, smaller than, or equal to the force of the hand on A? Explain.

The $1.0 k g$ block in FIGURE EX $7.24$ is tied to the wall with a rope. It sits on top of the $2.0 k g$ block. The lower block is pulled to the right with a tension force of $20 N$ . The coefficient of kinetic friction at both the lower and upper surfaces of the $2.0 k g$ block is $μ_{k} = 0.40$

a. What is the tension in the rope attached to the wall?

b. What is the acceleration of the $2.0 k g$ block?

FIGURE P $7.26$ shows two strong magnets on opposite sides of a small table. The long-range attractive force between the magnets keeps the lower magnet in place.

a. Draw an interaction diagram and draw free-body diagrams for both magnets and the table. Use dashed lines to connect the members of an action/reaction pair.

b. The lower magnet is being pulled upward against the bottom of the table. Suppose that each magnet’s weight is $2.0 N$ and that the magnetic force of the lower magnet on the upper magnet is $6.0 N$ . How hard does the lower magnet push against the table?

See all solutions

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