A person pushes with a force of 2.00 N on a stick that is 3.00 m
long directly toward the axis of an object whose moment of inertia
is 4.00 kg m2 about that axis. If the object had been rotating at
5.00 rad/s, 6.00 s later its rate of rotation will be:
a. 4.00 rad/s
b. 5.00 rad/s
c. 9.00 rad/s
d. 14.00 rad/s
e. none of these.
option b is correct.
since force is passing through axis, its torque is zero, so angular velocity will not change.
If we change the axis to ?2 ball as shown. Determine the moment
of inertia about the given axis of rotation. Calculate the torque
magnitude acting on the system.
nau be the speed if no downforce acted on the car? The drawing shows a system of objects, which consists of three small balls connected by massless rods. The axis is perpendicular to the page as shown. The force of magnitude F is applied to the m2 ball (see the drawing)....
A disc of moment of inertia 3.00 kgm2 is rotating with angular velocity 2.00 rad/s about an axis perpendicular to its plane and passing through its centre. Another disk (which is not rotating) of moment of inertia 5.00 kgm2 is gently placed over it. Finally, the two discs rotate with the same angular velocity around the common rotational axis. The new angular velocity of the combined disc (in rad/s) is ?
A 40.0-kg child running at 3.00 m/s suddenly jumps onto a stationary playground merry-go-round at a distance 1.50 m from the axis of rotation of the merry-go-round. The child is traveling tangential to the edge of the merry-go-round just before jumping on. The moment of inertia about its axis of rotation is 600 kg ? m2 and very little friction at its rotation axis. What is the angular speed of the merry-go-round just after the child has jumped onto it?...
A 2.00-kg mass is placed at (3.00, 4.00) m, and a 3.50-kg mass is placed at (3.00, −4.00) m. What is the moment of inertia of this system of masses about the z axis? Group of answer choices 49.5 kg·m2 22.0 kg·m2 16.5 kg·m2 88.0 kg·m2 138 kg·m2
A 35.0-9 object connected to a spring with a force constant of 45.0 N/m oscillates with an amplitude of 8.00 cm on a frictionless, horizontal surface. (a) Find the total energy of the system. (h) Find the speed of the object when its position is 1.30 cm. (Let 0 cm be the position of equilibrium.) mi's (c) Find the kinetic energy when its position is 3.00 cm. m (d) Find the potential energy when its position is 3.00 cm. V...
A DVD of mass M = 20.0 g = 0.0200 kg and radius R = 6.00 cm = 0.0600 m is rotating freely around a fixed vertical axis without any friction. Its initial angular velocity is ?1= 102 rad/s. A bug of mass m = 6.00 g = 0.00600 kgdrops onto the center of the rotating DVD. The bug then walks radially outward toward the edge of the DVD without slipping until it reaches a distance r from the center,...
On an old-fashioned rotating piano stool, a woman sits holding a pair of dumbbells at a distance of 0.640 mm from the axis of rotation of the stool. She is given an angular velocity of 2.60 rad/srad/s , after which she pulls the dumbbells in until they are only 0.165 mm distant from the axis. The woman's moment of inertia about the axis of rotation is 5.00 kg⋅m2kg⋅m2 and may be considered constant. Each dumbbell has a mass of 5.00...
4) A force of + 31 +27 What is the x-component of component definition of the cross product (A,B, 31+2T oki wpplied to particle positio component of the open the particlesbot the A,ByI+ (1. -..) + (4.8, -A (a) Tx 121 (b) Ty361 (c) T -281 (d) Tx=-441 (e) T OI 5) An ice skater rotating at pulls the rate of rotation? ice skater rotating at 2.00 revolutions per second and moment of artis 100 kg uls their arms out...
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13.Two spheres of mass M and radius R are both released from rest at the top of a hill and allowed to roll to the bottom. One of the spheres is hollow however, while the other is solid. Which of the spheres reaches the bottom first? A) The hollow one B) The solid one C) They reach the bottom at the same time D) It depends on the angle of inclination. E) It depends on the length of the...
A 2.00 kg object starts at the origin with an initial velocity of 3.00 m/s in the direction of 20.0° N from E. The object feels a constant force of 5.00 N in the direction of 55.0° N from E for 4.00 s. a) What is the magnitude and direction of the acceleration? b) What are the components of the acceleration? c) What are the components of the initial velocity? d) What are the components of the final velocity? e)...