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Chapter 5: Q 73P (page 122)

In Fig. 5-61, a tin of antioxidants (m1=1.0kg)on a friction less inclined surface is connected to a tin of corned beef(m2=2.0kg).The pulley is mass less and friction less. An upward force of magnitudeF=6.0Nacts on the corned beef tin, which has a downward acceleration of5.5m/s2. What are (a) the tension in the connecting cord and (b) angle β?

Short Answer

Expert verified
a)The tension in the connecting rod is T=2.6N

b)Angle is β=17∘

Step by step solution

01

Given information

Given that,

m1=1.0kg

role="math" localid="1655520757224" m2=2.0kg

role="math" localid="1655520811170" F=6.0N

a=5.5m/s2

02

Determining the concept

The problem is based on Newton’s second law of motion which states that the rate of change of momentum of a body is equal in both magnitude and direction of the force acting on it.

Formula:

According to the Newton’s second law of motion,

Fnet=∑Ma

03

(a) Determining the tension in the connecting rod

Free Body diagram

T+m1gsinβ=m1a

m2g-F-T=m2a(2×9.8)-6-T=2×5.5

By solving for above equation,

T=2.6N

Hence, the tension in the connecting rod isT=2.6N

04

(b) Determining the angle

Now, plugging this value in equation 1,

2.6+1×9.8×sinβ=1×5.5β=17∘

Hence, an angle isβ=17∘

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Most popular questions from this chapter

Tarzan, who weighs820N , swings from a cliff at the end of a 20.0mvine that hangs from a high tree limb and initially makes an angle of 22.0°with the vertical. Assume that an xaxis extends horizontally away from the cliff edge and a yaxis extends upward. Immediately after Tarzan steps off the cliff, the tension in the vine is760N . Just then, (a) what is the force on him from the vine in unit-vector notation and the net force on him (b) what is in unit-vector notation and as (c) what is a magnitude and (d) what is the angle relative to the positive direction of the xaxis? (e) What is the magnitude of Tarzan’s acceleration and (f) What is the angle of Tarzan’s acceleration just then?

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(b) how far does Amove in the first 0.250 s (assuming it does not reachthe pulley)?

Figure shows two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood’s machine.One block has massm1=1.30kg; the other has massm2=2.8kg. (a) What is the magnitude of the blocks’ acceleration and

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