At the instant of the figure, a 1.3 kg particle P has a position vector 7 of magnitude 1.4 m and angle 0, = 45° and a velocity vector v of magnitude 3.8 m/s and angle 8, = 30°. Force F of magnitude 1.2 N and angle 03 = 30° acts on P. All three vectors lie in the xy plane. (Express your answers in vector form.) (a) What is the angular momentum of the particle about the origin? I = kg · m2/s (b) What is the torque acting on the particle about the origin? N. m

At the instant of the figure, a 1.3 kg particle P has a position vector 7 of magnitude 1.4 m and angle 0, = 45° and a velocity vector v of magnitude 3.8 m/s and angle 8, = 30°. Force F of magnitude 1.2 N and angle 03 = 30° acts on P. All three vectors lie in the xy plane. (Express your answers in vector form.) (a) What is the angular momentum of the particle about the origin? I = kg · m2/s (b) What is the torque acting on the particle about the origin? N. m

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 42P: Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the...

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Here are three vectors in meters:d→1=-3.70î+7.00ĵ+1.40k̂d→2=-2.00î-4.00ĵ+2.00k̂d→3=2.00î+3.00ĵ+1.00k̂What results from (a) d→1⋅(d→2+d→3), (b) d→1⋅(d→2×d→3), and d→1×(d→2+d→3) ((c), (d) and (e) for î, ĵ and k̂ components respectively)?
In the figure, a body with a mass of 2 kg moves under the influence of two constant forces F1 = 5N and F2 = 4N in the xy plane. At time t = 0, the object is at point 0 and its speed is V = 2i + j (m / s). What is the acceleration of the particle and its position after 2 seconds in terms of the unit vector?
Consider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i + 4.0j, E = -2.0i + 3.0j + 2.0k, F = -9.0j. a)What is A × B? Give your answer in the form of "ai + bj + ck". b)What is B × A? Give your answer in the form of "ai + bj + ck". c)What is C × D? Give your answer in the form of "ai + bj + ck". d)What is F × E? Give your answer in the form of "ai + bj + ck".
Consider three vectors A = 15.3i + 1.7j, B = 9.5i + 9.1j, and C = -2.7i - 11.4j. What is the result of 2A⋅(B - 3C)? What is the result of A⋅A + B⋅B + C⋅C?
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