A particle of mass 1 kg is projected at an angle θ with horizontal. Its co-ordinates at any instant are (5m, 5m) and it is having velocity components along X-axis and Y-axis as 8 m/s and 4 m/s respectively. Its angular momentum about origin is
A particle of mass 1 kg is projected at an angle θ with horizontal. Its co-ordinates...
PART A A particle of mass 2.5 kg is moving with v =(-2.3i+1.4j )(m/s). At one instant,it is located at r = (2i+4j) m. Calculate the angular momentum of the particle at that instant with respect to the origin. Answer: 30 kgm2/s? PART B Find the angular momentum of a solid cylinder rotating with 12 rad/s angular speed around the axis passing through its center of mass. The radius of the cylinder is 15 cm, its length is 30 cm...
A 0.539 kg particle is moving parallel to the y-axis with a velocity of 2.97 m/s upwards. When it is 5.85 m to the right of the origin, what is the magnitude of its angular momentum about the z-axis? Answer in kg*m^2/s
The figure shows a rigid structure consisting of a circular hoop of radius R and mass m1 and a square made of four thin bars, each of length R and mass m. The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of s. If R = m and m = kg, calculate the angular momentum about that axis. At the instant of the figure, a kg particle P has a position vector...
Given: The particle has a known mass m and is confined to move along the smooth horizontal slot due to the rotation of the rod OA. Also, the rod is rotating with a known constant angular velocity of θ. Assuming the particle contacts only one side of the slot at any instant, Find: a) The radial (vr) and transverse components (vθ) of the particle's velocity at the given instant. b) The radial (ar) and transverse components (aθ) of the particle's acceleration at the given...
a uniform rod of mass1 = 4.7 kg and legth 80 cm lies horizontal frictionless table, with a vertical frictionless axle passing through a point P, located 25cm from center of mass of the rod. Also a particle of mass 2 = 1.2 kg is attached to the rod 5 cm from the far end. A. Find the moment of inertia of the rod only about point P. The system is initially rotating counter clock wise about P at 6.40...
At the instant of the figure, a 4.10 kg particle P has a position vector r of magnitude 9.10 m and angle θ1 = 44.0° and a velocity vector v of magnitude 4.60 m/s and angle θ2= 33.0°. Force F,of magnitude 5.30 N and angle θ3 = 33.0° acts on P. All three vectors lie in the xy plane. About the origin, what are the magnitude of (a) the angular momentum of the particle and (b) the torque acting on...
A 3.0 kg particle is traveling along the line y = 2.0 m with a velocity 5.0 m/s. What is the angular momentum of the particle about the origin? (k is the unit vector in the direction of the z axis) a. 30 k b. -30 k c. -3.3 k d. 7.5 k e. 3.3 k f. -7.5 k
PART B
A uniform hoop of mass ? = 2 ?? and radius ? = 50 ?? rolls
smoothly with constant angular speed of ? = 1.5 ???/? on a
horizontal surface. Note that the rotational inertia of the hoop
about its central axis is ??^2. Find the kinetic energy of the
hoop.
Q14 (10 points): An object of mass 2.4 kg moves in an xy-plane. At a given instant, ts position and its velocity components are as shown in...
At the instant of the figure, a 7.90 kg particle P has
a position vectorr→of magnitude 5.20 m and angleθ1 = 44.0° and a velocity vectorv→of magnitude
5.10 m/s and angle θ2 = 29.0°. ForceF→, of
magnitude 6.60 N and angle θ3 = 29.0° acts onP. All three vectors lie in the xy plane. About
the origin, what are the magnitude of (a) the
angular momentum of the particle and (b) the
torque acting on the particle?
A particle of mass 2 kg is moving in the xy plane at a constant speed of 0.80 m/s in the +x direction along the line y=4m. As the particle travels from ,x= -3m to x= +3m, the magnitude of its angular momentum with respect to the origin is A] not constant B] 0 C} 4.8 kg m2/s D} 8.4 kg m2/s E} 8 kg m2/s