Q3) A mass m = 1.96 kg lies on top of a cart. The top of the cart is an inclined plane which forms the angle a = 19.4 degrees with respect to the horizontal. The mass is connected via a massless string to a wall (this string also forms the same angle a with respect to the horizontal, see figure). A second massless string is attached to the cart and pulls the cart in the horizontal direction. Neglect the friction between the cart and the floor.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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ChapterMA: Math Assessment
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1.96 kg lies on top of a cart. The top of the cart is an inclined plane which forms the
19.4 degrees with respect to the horizontal. The mass is connected via a massless string to a
wall (this string also forms the same angle a with respect to the horizontal, see figure). A second massless
string is attached to the cart and pulls the cart in the horizontal direction. Neglect the friction between the
Q3) A mass m =
angle a =
cart and the floor.
T1
m
T2
a) In this part neglect all friction. Assuming that the cart and the mass are not moving, what is
the tension T1 on the first string?
b) In this part neglect all friction. Assuming that the cart and the mass are not moving, what is
the tension T2 on the second string?
c) Assume that the coefficient of static friction between the block and the cart is u, = 0.690.
Neglect all other friction forces.
What is the maximal tension T2 that can be applied just before the cart starts to move ?
Transcribed Image Text:1.96 kg lies on top of a cart. The top of the cart is an inclined plane which forms the 19.4 degrees with respect to the horizontal. The mass is connected via a massless string to a wall (this string also forms the same angle a with respect to the horizontal, see figure). A second massless string is attached to the cart and pulls the cart in the horizontal direction. Neglect the friction between the Q3) A mass m = angle a = cart and the floor. T1 m T2 a) In this part neglect all friction. Assuming that the cart and the mass are not moving, what is the tension T1 on the first string? b) In this part neglect all friction. Assuming that the cart and the mass are not moving, what is the tension T2 on the second string? c) Assume that the coefficient of static friction between the block and the cart is u, = 0.690. Neglect all other friction forces. What is the maximal tension T2 that can be applied just before the cart starts to move ?
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