In a Salvador Dali painting, a silver dinner tray has grown legs and starts running with a bowling pin on top of the tray. The coefficients of static and kinetic friction between the pin and the tray/legs are μs = 0.3 µk = 0.22, respectively. The dimensions and masses of the tray/legs and bowling pin are shown in the figure. a) Find the maximum acceleration of the legs 1₁5 cm 12 = 5 cm so that the bowling pin does not slip on the tray. b) c) Find the maximum acceleration of the legs so that the bowling pin does not tip over. Assume that the pin tips before it slips, and that the value of the acceleration at which tipping occurs is 2.1 m/s² (It isn't). For this acceleration, i. find the value of the force the ground exerts on the foot (both normal and friction), and ii. find the value of the frictional force between the tray and the bowling pin. mpin= 1.6 kg mlegs = 40 kg h1 = 15 cm h₂ = 12 cm h3 = 30 cm Ans: a) 2 m/s² < |ax| ≤ 3.5 m/s² b) 32 ≤|ax| ≤ 472 m

In a Salvador Dali painting, a silver dinner tray has grown legs and starts running with a bowling pin on top of the tray. The coefficients of static and kinetic friction between the pin and the tray/legs are μs = 0.3 µk = 0.22, respectively. The dimensions and masses of the tray/legs and bowling pin are shown in the figure. a) Find the maximum acceleration of the legs 1₁5 cm 12 = 5 cm so that the bowling pin does not slip on the tray. b) c) Find the maximum acceleration of the legs so that the bowling pin does not tip over. Assume that the pin tips before it slips, and that the value of the acceleration at which tipping occurs is 2.1 m/s² (It isn't). For this acceleration, i. find the value of the force the ground exerts on the foot (both normal and friction), and ii. find the value of the frictional force between the tray and the bowling pin. mpin= 1.6 kg mlegs = 40 kg h1 = 15 cm h₂ = 12 cm h3 = 30 cm Ans: a) 2 m/s² < |ax| ≤ 3.5 m/s² b) 32 ≤|ax| ≤ 472 m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Problem 20.2
In a Salvador Dali painting, a silver dinner tray has grown legs and starts running with a bowling pin on top
of the tray. The coefficients of static and kinetic friction between the pin and the tray/legs are μs = 0.3
Mk = 0.22, respectively. The dimensions and masses of the tray/legs and bowling pin are shown in the
figure.
1₁5 cm 12 = 5 cm
a) Find the maximum acceleration of the legs
so that the bowling pin does not slip on the
tray.
b)
c)
Find the maximum acceleration of the legs
so that the bowling pin does not tip over.
Assume that the pin tips before it slips, and
that the value of the acceleration at which
tipping occurs is 2.1 m/s² (It isn't). For this
acceleration,
i. find the value of the force the ground
exerts on the foot (both normal and
friction), and
ii. find the value of the frictional force
between the tray and the bowling pin.
mpin = 1.6 kg
mlegs = 40 kg
h1 = 15 cm
h2 = 12 cm
h3 = 30 cm
Ans: a) 2 m/s² ≤|ax| ≤ 3.5 m/s²
b) 37 1/2 ≤|ax| ≤ 47/7/22

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