Four particles, each of mass 0.33 kg, are placed at the vertices of a square wit

Q: Four particles, each of mass 0.33 kg, are placed at the vertices of a square wit

a) the rotational inertia of the body about axis A is Ia = m * L^2 + m * L^2 + m * (sqrt(L^2 + L^2)^2 Ia = 4 * m * L^2 Ia = 4 * 0.33 * 0.54 ^2 = 0.3849 kgm^2 b) From the conservation law of mechanic energy we have 0.5 * I * w^2 = 4 * m * g * L w = sqrt( 8 * m * g * L / I) w = sqrt( ( 8 * 0.33 * 9.8 * 0.54) / 0.3849) = 6.024 rad/s

ID: 1455653 • Letter: F

Question

Four particles, each of mass 0.33 kg, are placed at the vertices of a square with sides of length 0.54 m. The particles are connected by rods of negligible mass. This rigid body can rotate in a vertical plane about a horizontal axis A that passes through one of the particles. The body is released from rest with rod AB horizontal, as shown in the figure. (a) What is the rotational inertia of the body about axis A? (b) What is the angular speed of the body about axis A at the instant rod AB swings through the vertical position?

Explanation / Answer

the rotational inertia of the body about axis A is

Ia = m * L^2 + m * L^2 + m * (sqrt(L^2 + L^2)^2

Ia = 4 * m * L^2

Ia = 4 * 0.33 * 0.54 ^2 = 0.3849 kgm^2

From the conservation law of mechanic energy we have

0.5 * I * w^2 = 4 * m * g * L

w = sqrt( 8 * m * g * L / I)

w = sqrt( ( 8 * 0.33 * 9.8 * 0.54) / 0.3849) = 6.024 rad/s

Navigate

Four particles, each of mass 0.24 kg, are placed at the vertices of a square wit

Four parts to this question (will award best answer today!) 1 - the light gather

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.

Four particles, each of mass 0.33 kg, are placed at the vertices of a square wit

Question

Explanation / Answer

Related Questions

Navigate