A horizontal turntable is rotating clockwise at a speed of 35.5 rev/min. The turntable is oriented in the xy-plane of a coordinate system, with the origin at the center of the turntable, and the +z-axis vertically upward. A point on the turntable is labeled A, and this point is 12.0 cm from the center of the turntable. A jumping spider sits at point A, and at the instant point A crosses the +x-axis (that is, when the position of the spider is 12.0î cm), the spider jumps straight up to a height of 2.00 cm. At takeoff, it gives itself no horizontal velocity relative to the turntable. A short time later, the spider lands back on the turntable. (Express your answers in vector form.)   (a)Find the position (in cm) of point A at the instant the spider lands back on the turntable. rA = ______cm (b)Find the position (in cm) of the spider at the instant it lands back on the turntable. rspider, final = _____cm

Q: A carnival merry-go-round rotates about a vertical axis at a constant rate. A man standing on the…

A:

Q: Determine the velocity total acceleration

A: Given: Radius of circular path is r=2.75 m Angular coordinate is α=24° Magnitude of acceleration is…

Q: A particle executes a motion on a circular path with a constant speed of 2 m/s. Using…

A: In a uniform cicular motion, the velocity of the particle is always tangential to the circle of…

Q: object rolls off a tabletop with a horizontal velocity v0x = 18 m/s. The table is at a height y0 =…

A:

Q: An ice skater is executing a figure-eight, consisting of two identically shaped, tangent circular…

A:

Q: A particle is traveling counterclockwise in a circle of radius r = 3.00 m.At some instant in time,…

A: centripetal acceleration is component of acceleration along the radius ac=15cos20 =V2r45cos20 =V2V =…

Q: Some cats can be trained to jump from one location to another and perform other tricks. Kit the cat…

A: initial height from where the cat jumps (h) = 1.722 m maximum height (h') = 3.130 m horizontal…

Q: The aorta is a major artery, rising upward from the left ventricle of the heart and curving down to…

A: Diameter is Speed of blood flowing through aortic is Note:Find:Magnitude of centripetal…

Q: The rotation of the bar OA around O is defined by the relation Θ= t3 + 4t, where Θ is in radians and…

A: Given data: Θ=t3+4t. r=2.5t3+5t2. When Θ=115°. Converting Θ into radians, Θ=115°×π180°=2 rad Thus,…

Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

A: d1 = 2.5 km @45o north of west d2 = 4.70 km@60o south of east d3 = 5.1 km due east d4 = 7.2 km @55o…

Q: Some cats can be trained to jump from one location to another and perform other tricks. Kit the cat…

A: Let's explain it step by step:Part (a): Initial Velocity in Vector Form(v0​):To find the initial…

Q: At the instant t = 3 sec, the radial coordinate r of the robot arm is 3 ft and is extending at a…

A:

Q: An object travels in a vertical circle of 1.43 m radius. When the object is traveling downward and…

A: Given, The radius of the vertical circle is r=1.43 m The angular position of the object from the…

Q: A ball swings in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9° past the…

A: Part (a) Given: The length of rope is L=1.50 m. The angle made by the rope with vertical is…

Q: An object moves in a circular path at a constant speed. What is the relationship between the…

A:

Q: An airplane makes a gradual 270° turn (heading goes from north to west to south to east) while…

A:

Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

A: We know the axis orientation as:

Q: A particle is performing uniform circular motion counterclockwise around the origin of an xy…

A:

Q: A pursue at radius 2.00 m and a wallet at radius 3.00 m travel in uniform circular motion on the…

A: Given that ,                 pursue at radius (rp)=2m                 wallet at radius (rw)=3m…

Q: Two people swing jump ropes, as shown in the diagram. The highest point of the middle of each rope…

A:

Q: An object rolls off a tabletop with a horizontal velocity v0x = 18 m/s. The table is at a height y0…

A:

Q: Some cats can be trained to jump from one location to another and perform other tricks. Kit the cat…

A:

Q: Trent is running along a circular track that has a radius of 45 meters. Trent starts at the…

A:

Q: A carnival merry-go-round rotates about a vertical axis at a constant rate. A man standing on the…

A:

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.