A ball is suspended from a light 1.2 m string as shown. The string makes an angle of 25 degrees with the vertical. The ball is then kicked up and to the right such that the string remains taut the entire time the ball swings upwards. This kick gives the ball an initial velocity of 1.2 m/s. Part (a) What will be the speed, in meters per second, of the ball when it reaches its lowest point (θ = 0)? Part (b) What will be the maximum angle, in degrees, the string will make with the vertical?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
A ball is suspended from a light 1.2 m string as shown. The string makes an angle of 25 degrees with the vertical. The ball is then kicked up and to the right such that the string remains taut the entire time the ball swings upwards. This kick gives the ball an initial velocity of 1.2 m/s.
Part (a) What will be the speed, in meters per second, of the ball when it reaches its lowest point (θ = 0)?
Part (b) What will be the maximum angle, in degrees, the string will make with the vertical?
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