Q4)
Iz = Ix + Iy = My^2 + Mx^2
= 2(3^2+2^2) + 3(3^2+2^2) + 2(3^2+2^2) + 4(3^2+2^2)
= 11 x 13 = 143 kgm^2
Q5)
K = 1/2 I w^2
- 143/2 x 8^2 = 4576 J = 4.58 kJ
Q6
h = v^2/2g = 15^2 / 20 = 11.25 m
v = (2gh)^0.5 = (2x10x5.625)^0.5
= 10.61 m/s halfway
p = mv = 0.5x10.61 = 5.3 kgm/s
The four particles shown in Fig. connected by rigid rods. The or igin is at the...
The four particles shown in Fig. conriected by rigid rods. The origin is at the center of the rectangle. If the system rot ates in the xy plane about the z axis with an angular spe ed of 5.00 rad/s, calculate Fim) 3.00 kg 2.00 kg 4:-The mornent of inertia of the system about the z axis (A)143 Kg ni2 (B) 65Kg.m2 (C) 78Kg.m2 (D) 52 Kg.m2 (E) 91Kg.m2 6.00 ni im) 4.00mH Q5:- The rotational kinetic energy of the...
Four particles at the corners of a square with a side length L=4.00m are connected by massless rods. The particle masses are m1= m4=2.00kg and m2= m3 = 16.0 kg. Pairs of particles with equal masses are located at opposite corners of the square. Find the moment of inertia of the system about the z-axis that passes through a corner of the square where the particle has a mass of m=16.00kg.
011. Four particles with masses 4 kg, 6 kg, 4 kg, and 6 kg are connected by rigid rods of negligible mass as shown. The origin is centered on the mass in the lower left corner. The rectangle is 6 m wide and 5 m long. If the system rotates in the xy plane about the z axis (origin, O) with an angular speed of 5 rad/s, calculate the moment of inertia of the system about the z axis. 012. Find the...
The four particles shown below are connected by rigid rods of negligible mass where y1 = 6.60 m. The origin is at the center of the rectangle. The system rotates in the xy plane about the z axis with an angular speed of 6.40 rad/s. (a) Calculate the moment of inertia of the system about the z axis.(b) Calculate the rotational kinetic energy of the system.
Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates about the x axis with an angular speed of 4.00 rad/s. (The center of mass of mass m1 = 6.20 kg is at location yl = 4.65 m, the center of mass of m2 = 3.10 kg is at y2 = -3.10 m, and the center of mass of m2 = 4.65 kg is at y3 = -6.20 m.)
A four-particle system is shown in the figure below, and the masses of the particles are ni l1 m1 3.4 kg m2 3.5 kg m3 3.4 kg m4 3.5 kg 2.0 m 2.0 m 12 (a) Find the moment of inertia Ix about the x axis, which passes through m2 and m3 kg m2 (b) Find the moment of inertia ly about the y axis, which passes through m1 and m2 kg m2
Problem 9-43: Four particles at the corners of a square with a side length L-5.00m are connected by massless rods. The particle masses are m1= m4=5.00kg and m2= m3 particles with equal masses are located at opposite corners of the square. Find the moment of inertia of the system about the z-axis that passes through a corner of the square where the particle has a mass of m=15.00kg. 15.0 kg. Pairs of Tries 0/10 Submit Answer
Four particles at the corners of a square with a side length L=2.00m are connected by massless rods. The particle masses are m1= m4=4.00kg and m2= m3 = 16.0 kg. Pairs of particles with equal masses are located at opposite corners of the square. Find the moment of inertia of the system about the z-axis that passes through a corner of the square where the particle has a mass of m=16.00kg.
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