Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 5, Problem 105P
To determine
To Find:The center of mass of the uniform sheet.
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Chapter 5 Solutions
Physics for Scientists and Engineers
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- The figure below shows four objects at the corners of a rectangle, connected by rods of negligible mass. The center of the rectangle lies at the origin of an xy-coordinate system. The width of the rectangle (along the x-axis) is 4.00 m, and the height (along the y-axis) is 6.00 m. Starting at the top left and going clockwise, the masses of the objects are m, = 3.50 kg, m2 = 2.50 kg, m3 = 4.30 kg, and m, = 1.90 kg. m, m2 6.00 m m3 + 4.00 m→ (a) What is the moment of inertia (in kg • m2) of the system about the x-axis? kg • m2 (b) What is the moment of inertia (in kg · m2) of the system about the y-axis? kg • m (c) What is the moment of inertia (in kg · m2) of the system about an axis through O and perpendicular to the page (that is, the z-axis)? kg · m2arrow_forward(A) Show that the center of mass of a rod of mass M and length L lies midway between its ends, assuming the rod has a uniform mass per unit length. (B) Suppose a rod is nonuniform such that its mass per unit length varies linearly with x according to the expression λ = ax, where a is a constant. Find the x coordinate of the center of mass as a fraction of L.arrow_forwardTo keep the calculations fairly simple, but still reasonable, we shall model a human leg that is 92.0 cm long (measured from the hip joint) by assuming that the upper leg and the lower leg (which includes the foot) have equal lengths and that each of them is uniform. For a 70.0 kg person, the mass of the upper leg is 8.60 kg, while that of the lower leg (including the foot) is 5.25 kg. Find the location of the center of mass of this leg, relative to the hip joint, if it is (a) fully extended, and (b) bent at the knee to form a right angle with the upper leg.arrow_forward
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