Question

P6 Given: $\omega = const$. Determine: the velocities and the accelerations of the points A, B, C, D of the chair. P7 Given: L-shaped bar $O_1AB$, $\omega = const$, $O_1A = 1$, $AB = 2l$. Determine: the velocity and the acceleration of the point B of the bar. P8 Given: $AB = l$ R, $|v_A| = u = const$. Determine: a) the instantaneous center of rotation; b) $\omega = ?$ c) the velocities of the points B and C, for an arbitrary angle $\theta$. P9 Given: $l$, $\omega_1 = \omega_0$, and $\varepsilon_1 = 2\omega_0^2$. Determine: a) $v_A$, $v_B$, $\omega_2$, $\omega_3 = ?$ (graphical representation and scalars); b) $a_A = ?$ (graphical representation and scalar). P10 Given: $l$, $\omega_1 = \omega_0$, and $\varepsilon_1 = 2\omega_0^2$. Determine: a) $v_A$, $v_B$, $\omega_2 = ?$ (graphical representation and scalars); b) $a_A = ?$ (graphical representation and scalar).

          P6
Given: $\omega = const$.
Determine: the velocities and the accelerations of the points A, B, C, D of the chair.
P7
Given: L-shaped bar $O_1AB$, $\omega = const$, $O_1A = 1$, $AB = 2l$.
Determine: the velocity and the acceleration of the point B of the bar.
P8
Given: $AB = l$ R, $|v_A| = u = const$.
Determine:
a) the instantaneous center of rotation;
b) $\omega = ?$
c) the velocities of the points B and C, for an arbitrary angle $\theta$.
P9
Given: $l$, $\omega_1 = \omega_0$, and $\varepsilon_1 = 2\omega_0^2$.
Determine:
a) $v_A$, $v_B$, $\omega_2$, $\omega_3 = ?$ (graphical representation and scalars);
b) $a_A = ?$ (graphical representation and scalar).
P10
Given: $l$, $\omega_1 = \omega_0$, and $\varepsilon_1 = 2\omega_0^2$.
Determine:
a) $v_A$, $v_B$, $\omega_2 = ?$ (graphical representation and scalars);
b) $a_A = ?$ (graphical representation and scalar).
        
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P6
Given: ω = const.
Determine: the velocities and the accelerations of the points A, B, C, D of the chair.
P7
Given: L-shaped bar O1AB, ω = const, O1A = 1, AB = 2l.
Determine: the velocity and the acceleration of the point B of the bar.
P8
Given: AB = l R, |vA| = u = const.
Determine:
a) the instantaneous center of rotation;
b) ω = ?
c) the velocities of the points B and C, for an arbitrary angle θ.
P9
Given: l, ω1 = ω0, and ε1 = 2ω0^2.
Determine:
a) vA, vB, ω2, ω3 = ? (graphical representation and scalars);
b) aA = ? (graphical representation and scalar).
P10
Given: l, ω1 = ω0, and ε1 = 2ω0^2.
Determine:
a) vA, vB, ω2 = ? (graphical representation and scalars);
b) aA = ? (graphical representation and scalar).

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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can you help me with these exercises ? its about Kinematics of the absolute motion of a rigid body. P6 Given: =const . Determine: the velocities and the accelerations of the points A, B C, D of the chair. P7 Given: L-shaped bar OAB, =const, OA=l , AB =2l Determine: the velocity and the acceleration of the point B of the bar. O=A P8 Given: AB=l R, = u= const Determine: a) the instantaneous center of rotation; b) =? c) the velocities of the points B and C, for an arbitrary angle 9 P9 B Given: l, ,=@, and , =2? Determine: a) v4, V, ,, =? (graphical representation and scalars); b) a = ? (graphical representation and scalar). P10 Given: l, =, and &,=2 Determine: a) v, V, , = ? (graphical representation and scalars); b) a, =? (graphical representation and scalar). 12 X B X'
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Transcript

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00:01 Hello students, let's solve this question here.
00:03 The coordinate axis for frame b is to be found out.
00:08 So it is aligned with the slotted arm and it is perpendicular to the slotted arm.
00:33 So let's express the direction cosines.
00:36 Here the direction cosines are the cosines of the angles between the axis of frame b and frame n.
00:45 So we need these to construct the rotation matrix.
00:48 Here the angle theta is equal to zero.
00:51 Therefore, which means that the slotted arm is horizontal and the x axis of the frame b aligns with the positive x axis which is of frame n.
01:13 Now the direction cosine between the x axis is cos of zero is equal to one...
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